Constructing phase space distributions with internal symmetries

Mueller, Niklas; Venugopalan, Raju

doi:10.1103/PhysRevD.99.056003

Title: Constructing phase space distributions with internal symmetries

Abstract

We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real-time path integral in quantum field theory, we derive the most general extension of the Wigner phase space distribution to include color and spin degrees of freedom in terms of dynamical Grassmann variables. The corresponding Liouville distribution for colored particles, which obey Wong’s equation, has only singlet and octet components, while higher moments are fully constrained by the Grassmann algebra. The extension of phase space dynamics to spin is represented by a generalization of the Pauli-Lubanski vector; its time evolution via the Bargmann-Michel-Telegdi equation also follows from the phase space trajectories of the underlying Grassmann coordinates. Our results for the Liouville phase space distribution in systems with both spin and color are of interest in fields as diverse as chiral fluids, finite temperature field theory and polarized parton distribution functions. We also comment on the role of the chiral anomaly in the phase space dynamics of spinning particles.

Authors:: Mueller, Niklas; Venugopalan, Raju

Publication Date:: Fri Mar 08 00:00:00 EST 2019

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG)

OSTI Identifier:: 1498591

Alternate Identifier(s):: OSTI ID: 1505106

Report Number(s):: BNL-211515-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 056003

Grant/Contract Number:: SC0012704; 404640738

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; anomalies; many-body techniques; nonequilibrium statistical mechanics; path integrals; quantum field theory; quantum kinetic theory; relativistic heavy-ion collisions; relativistic kinetic theory; topology

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                    Mueller, Niklas, and Venugopalan, Raju. Constructing phase space distributions with internal symmetries.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.056003.

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                    Mueller, Niklas, & Venugopalan, Raju. Constructing phase space distributions with internal symmetries.  United States.  https://doi.org/10.1103/PhysRevD.99.056003

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                    Mueller, Niklas, and Venugopalan, Raju. Fri .  
"Constructing phase space distributions with internal symmetries".  United States.  https://doi.org/10.1103/PhysRevD.99.056003.

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@article{osti_1498591,

  title        = {Constructing phase space distributions with internal symmetries},

  author       = {Mueller, Niklas and Venugopalan, Raju},

  abstractNote = {We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real-time path integral in quantum field theory, we derive the most general extension of the Wigner phase space distribution to include color and spin degrees of freedom in terms of dynamical Grassmann variables. The corresponding Liouville distribution for colored particles, which obey Wong’s equation, has only singlet and octet components, while higher moments are fully constrained by the Grassmann algebra. The extension of phase space dynamics to spin is represented by a generalization of the Pauli-Lubanski vector; its time evolution via the Bargmann-Michel-Telegdi equation also follows from the phase space trajectories of the underlying Grassmann coordinates. Our results for the Liouville phase space distribution in systems with both spin and color are of interest in fields as diverse as chiral fluids, finite temperature field theory and polarized parton distribution functions. We also comment on the role of the chiral anomaly in the phase space dynamics of spinning particles.},

  doi          = {10.1103/PhysRevD.99.056003},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Fri Mar 08 00:00:00 EST 2019},

  month        = {Fri Mar 08 00:00:00 EST 2019}

}

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Works referenced in this record:

Phase space representation of quantum dynamics
journal, August 2010

Polkovnikov, Anatoli
Annals of Physics, Vol. 325, Issue 8
DOI: 10.1016/j.aop.2010.02.006

Small- $x$ Asymptotics of the Quark Helicity Distribution
journal, January 2017

Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.
Physical Review Letters, Vol. 118, Issue 5
DOI: 10.1103/PhysRevLett.118.052001

Quark-gluon transport theory II. Color response and color correlations in a quark-gluon plasma
journal, April 1986

Heinz, Ulrich
Annals of Physics, Vol. 168, Issue 1
DOI: 10.1016/0003-4916(86)90114-4

Supersymmetry, supergravity theories and the dual spinor model
journal, April 1977

Gliozzi, F.; Scherk, J.; Olive, D.
Nuclear Physics B, Vol. 122, Issue 2
DOI: 10.1016/0550-3213(77)90206-1

Field theory without Feynman diagrams: One-loop effective actions
journal, October 1992

Strassler, Matthew J.
Nuclear Physics B, Vol. 385, Issue 1-2
DOI: 10.1016/0550-3213(92)90098-V

Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
journal, October 2014

Manuel, Cristina; Torres-Rincon, Juan M.
Physical Review D, Vol. 90, Issue 7
DOI: 10.1103/PhysRevD.90.076007

Random walks of partons in $S U (N_{c})$ and classical representations of color charges in QCD at small $x$
journal, November 2004

Jeon, Sangyong; Venugopalan, Raju
Physical Review D, Vol. 70, Issue 10
DOI: 10.1103/PhysRevD.70.105012

Worldline path integrals for fermions with general couplings
journal, May 1996

D'Hoker, Eric; Gagné, Darius G.
Nuclear Physics B, Vol. 467, Issue 1-2
DOI: 10.1016/0550-3213(96)00126-5

The role of the axial anomaly in measuring spin-dependent parton distributions
journal, November 1988

Carlitz, R. D.; Collins, J. C.; Mueller, A. H.
Physics Letters B, Vol. 214, Issue 2
DOI: 10.1016/0370-2693(88)91474-8

The Color Glass Condensate
journal, November 2010

Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal
Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
DOI: 10.1146/annurev.nucl.010909.083629

One-loop effective actions and 2D hydrodynamics with anomalies
journal, June 2015

Ng, Gim Seng; Surówka, Piotr
Physics Letters B, Vol. 746
DOI: 10.1016/j.physletb.2015.05.011

Quantum anomaly and geometric phase: Their basic differences
journal, January 2006

Fujikawa, Kazuo
Physical Review D, Vol. 73, Issue 2
DOI: 10.1103/PhysRevD.73.025017

Publisher’s Note: Berry Phase Correction to Electron Density of States in Solids [Phys. Rev. Lett. 95 , 137204 (2005)]
journal, October 2005

Xiao, Di; Shi, Junren; Niu, Qian
Physical Review Letters, Vol. 95, Issue 16
DOI: 10.1103/PhysRevLett.95.169903

Field theory interpretation of supergauges in dual models
journal, November 1971

Gervais, J. -L.; Sakita, B.
Nuclear Physics B, Vol. 34, Issue 2
DOI: 10.1016/0550-3213(71)90351-8

Effective field theory approach to high-temperature thermodynamics
journal, June 1995

Braaten, Eric; Nieto, Agustin
Physical Review D, Vol. 51, Issue 12
DOI: 10.1103/PhysRevD.51.6990

Classical transport theory and hard thermal loops in the quark-gluon plasma
journal, September 1994

Kelly, P. F.; Liu, Q.; Lucchesi, C.
Physical Review D, Vol. 50, Issue 6
DOI: 10.1103/PhysRevD.50.4209

Equivalence of the spinning superparticle descriptions with grassmann variables or with c-number spinors
journal, January 1989

Barut, A. O.; Pavšič, M.
Physics Letters B, Vol. 216, Issue 3-4
DOI: 10.1016/0370-2693(89)91118-0

Wigner Distribution Function and Coherent State of a Fermion
journal, May 1989

Abe, S.; Suzuki, N.
Europhysics Letters (EPL), Vol. 9, Issue 2
DOI: 10.1209/0295-5075/9/2/002

Classical scalar and spinning particles interacting with external Yang-Mills fields
journal, June 1977

Barducci, A.; Casalbuoni, R.; Lusanna, L.
Nuclear Physics B, Vol. 124, Issue 1
DOI: 10.1016/0550-3213(77)90278-4

The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990

Jaffe, R. L.; Manohar, Aneesh
Nuclear Physics B, Vol. 337, Issue 3
DOI: 10.1016/0550-3213(90)90506-9

Erratum to: Helicity evolution at small x
journal, October 2016

Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)148

Perturbative quantum field theory in the string-inspired formalism
journal, December 2001

Schubert, Christian
Physics Reports, Vol. 355, Issue 2-3
DOI: 10.1016/S0370-1573(01)00013-8

Hydrodynamics with Triangle Anomalies
journal, November 2009

Son, Dam T.; Surówka, Piotr
Physical Review Letters, Vol. 103, Issue 19
DOI: 10.1103/PhysRevLett.103.191601

Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
journal, February 1970

Wong, S. K.
Il Nuovo Cimento A, Vol. 65, Issue 4
DOI: 10.1007/BF02892134

Classical description of a particle interacting with a non-Abelian gauge field
journal, April 1977

Balachandran, A. P.; Salomonson, Per; Skagerstam, Bo-Sture
Physical Review D, Vol. 15, Issue 8
DOI: 10.1103/PhysRevD.15.2308

Noncanonical Hamiltonian mechanics and its application to magnetic field line flow
journal, November 1983

Cary, John R.; Littlejohn, Robert G.
Annals of Physics, Vol. 151, Issue 1
DOI: 10.1016/0003-4916(83)90313-5

Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory
journal, March 2018

Mueller, Niklas; Venugopalan, Raju
Physical Review D, Vol. 97, Issue 5
DOI: 10.1103/PhysRevD.97.051901

Chiral magnetic effect
journal, October 2008

Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J.
Physical Review D, Vol. 78, Issue 7
DOI: 10.1103/PhysRevD.78.074033

Color Glass Condensate in Schwinger–Keldysh QCD
journal, January 2014

Jeon, Sangyong
Annals of Physics, Vol. 340, Issue 1
DOI: 10.1016/j.aop.2013.09.019

Mixed symmetry Wilson-loop interactions in the worldline formalism
journal, September 2016

Edwards, James P.; Corradini, Olindo
Journal of High Energy Physics, Vol. 2016, Issue 9
DOI: 10.1007/JHEP09(2016)081

Relativistic chiral kinetic theory from quantum field theories
journal, May 2017

Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun
Physical Review D, Vol. 95, Issue 9
DOI: 10.1103/PhysRevD.95.091901

Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
journal, May 2014

Chen, Jiunn-Wei; Pang, Jin-yi; Pu, Shi
Physical Review D, Vol. 89, Issue 9
DOI: 10.1103/PhysRevD.89.094003

Minding one’s P’s and Q’s: From the one loop effective action in quantum field theory to classical transport theory
journal, July 2000

Jalilian-Marian, Jamal; Jeon, Sangyong; Venugopalan, Raju
Physical Review D, Vol. 62, Issue 4
DOI: 10.1103/PhysRevD.62.045020

Complete and consistent chiral transport from Wigner function formalism
journal, August 2018

Huang, Anping; Shi, Shuzhe; Jiang, Yin
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.036010

Prospects for Spin Physics at RHIC
journal, December 2000

Bunce, Gerry; Saito, Naohito; Soffer, Jacques
Annual Review of Nuclear and Particle Science, Vol. 50, Issue 1
DOI: 10.1146/annurev.nucl.50.1.525

Coherent States of Fermi Operators and the Path Integral
journal, August 1978

Ohnuki, Y.; Kashiwa, T.
Progress of Theoretical Physics, Vol. 60, Issue 2
DOI: 10.1143/PTP.60.548

Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
journal, October 2015

Manuel, Cristina; Torres-Rincon, Juan M.
Physical Review D, Vol. 92, Issue 7
DOI: 10.1103/PhysRevD.92.074018

Axial couplings on the world-line
journal, January 1996

Mondragón, Myriam; Nellen, Lukas; Schmidt, Michael G.
Physics Letters B, Vol. 366, Issue 1-4
DOI: 10.1016/0370-2693(95)01392-X

Disentangling covariant Wigner functions for chiral fermions
journal, August 2018

Gao, Jian-Hua; Liang, Zuo-Tang; Wang, Qun
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.036019

On the Wess–Zumino term in high energy QCD
journal, April 2006

Hatta, Yoshitaka
Nuclear Physics A, Vol. 768, Issue 3-4
DOI: 10.1016/j.nuclphysa.2006.01.012

Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984

Berry, M. V.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
DOI: 10.1098/rspa.1984.0023

Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations
journal, September 2016

Müller, Niklas; Schlichting, Sören; Sharma, Sayantan
Physical Review Letters, Vol. 117, Issue 14
DOI: 10.1103/PhysRevLett.117.142301

Yukawa couplings for the spinning particle and the world-line formalism
journal, May 1995

Mondragón, Myriam; Nellen, Lukas; Schmidt, Michael G.
Physics Letters B, Vol. 351, Issue 1-3
DOI: 10.1016/0370-2693(95)00337-K

Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory
journal, June 1999

Litim, Daniel F.; Manuel, Cristina
Physical Review Letters, Vol. 82, Issue 25
DOI: 10.1103/PhysRevLett.82.4981

Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation
journal, June 2013

Chen, Jiunn-Wei; Pu, Shi; Wang, Qun
Physical Review Letters, Vol. 110, Issue 26
DOI: 10.1103/PhysRevLett.110.262301

Quark Wigner distributions and orbital angular momentum
journal, July 2011

Lorcé, C.; Pasquini, B.
Physical Review D, Vol. 84, Issue 1
DOI: 10.1103/PhysRevD.84.014015

Kinetic Theory for Plasmas with Non-Abelian Interactions
journal, August 1983

Heinz, Ulrich
Physical Review Letters, Vol. 51, Issue 5
DOI: 10.1103/PhysRevLett.51.351

Chiral Kinetic Theory
journal, October 2012

Stephanov, M. A.; Yin, Y.
Physical Review Letters, Vol. 109, Issue 16
DOI: 10.1103/PhysRevLett.109.162001

Nonequilibrium study of the chiral magnetic effect from real-time simulations with dynamical fermions
journal, February 2017

Mace, Mark; Mueller, Niklas; Schlichting, Sören
Physical Review D, Vol. 95, Issue 3
DOI: 10.1103/PhysRevD.95.036023

Quark orbital angular momentum from Wigner distributions and light-cone wave functions
journal, June 2012

Lorcé, Cédric; Pasquini, Barbara; Xiong, Xiaonu
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/PhysRevD.85.114006

Transport coefficients in high temperature gauge theories, 2. Beyond leading log
journal, May 2003

Arnold, Peter; Moore, Guy D.; Yaffe, Laurence G.
Journal of High Energy Physics, Vol. 2003, Issue 05
DOI: 10.1088/1126-6708/2003/05/051

Quark-Gluon transport theory
journal, November 1989

Elze, Hans-Thomas; Heinz, Ulrich
Physics Reports, Vol. 183, Issue 3
DOI: 10.1016/0370-1573(89)90059-8

Dual Theory for Free Fermions
journal, May 1971

Ramond, P.
Physical Review D, Vol. 3, Issue 10
DOI: 10.1103/PhysRevD.3.2415

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

Accardi, A.; Albacete, J. L.; Anselmino, M.
The European Physical Journal A, Vol. 52, Issue 9
DOI: 10.1140/epja/i2016-16268-9

Semi-classical transport theory for non-Abelian plasmas
journal, July 2002

Litim, Daniel F.; Manuel, Cristina
Physics Reports, Vol. 364, Issue 6
DOI: 10.1016/S0370-1573(02)00015-7

The chiral magnetic effect in hydrodynamical approach
journal, March 2011

Isachenkov, M. V.; Sadofyev, A. V.
Physics Letters B, Vol. 697, Issue 4
DOI: 10.1016/j.physletb.2011.02.041

Classical version of the non-Abelian gauge anomaly
journal, August 2013

Stone, Michael; Dwivedi, Vatsal
Physical Review D, Vol. 88, Issue 4
DOI: 10.1103/PhysRevD.88.045012

Anomalous transport model study of chiral magnetic effects in heavy ion collisions
journal, October 2016

Sun, Yifeng; Ko, Che Ming; Li, Feng
Physical Review C, Vol. 94, Issue 4
DOI: 10.1103/PhysRevC.94.045204

Lagrangian and Hamiltonian descriptions of Yang-Mills particles
journal, June 1978

Balachandran, A. P.; Borchardt, S.; Stern, A.
Physical Review D, Vol. 17, Issue 12
DOI: 10.1103/PhysRevD.17.3247

Chiral fermions as classical massless spinning particles
journal, February 2015

Duval, C.; Horváthy, P. A.
Physical Review D, Vol. 91, Issue 4
DOI: 10.1103/PhysRevD.91.045013

Geometric phases and hidden local gauge symmetry
journal, July 2005

Fujikawa, Kazuo
Physical Review D, Vol. 72, Issue 2
DOI: 10.1103/PhysRevD.72.025009

Pseudoclassical description of Weyl particles
journal, March 1981

Barducci, A.; Casalbuoni, R.; Dominici, D.
Physics Letters B, Vol. 100, Issue 2
DOI: 10.1016/0370-2693(81)90758-9

Exact solutions in the Yang-Mills-Wong theory
journal, April 1998

Kosyakov, B. P.
Physical Review D, Vol. 57, Issue 8
DOI: 10.1103/PhysRevD.57.5032

The quark–gluon plasma: collective dynamics and hard thermal loops
journal, March 2002

Blaizot, Jean-Paul; Iancu, Edmond
Physics Reports, Vol. 359, Issue 5-6
DOI: 10.1016/S0370-1573(01)00061-8

Transport Theory for a Two-Flavor Color Superconductor
journal, July 2001

Litim, Daniel F.; Manuel, Cristina
Physical Review Letters, Vol. 87, Issue 5
DOI: 10.1103/PhysRevLett.87.052002

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959

Bargmann, V.; Michel, Louis; Telegdi, V. L.
Physical Review Letters, Vol. 2, Issue 10
DOI: 10.1103/PhysRevLett.2.435

Some features of the glasma
journal, June 2006

Lappi, T.; McLerran, L.
Nuclear Physics A, Vol. 772, Issue 3-4
DOI: 10.1016/j.nuclphysa.2006.04.001

Quark-gluon transport theory I. The classical theory
journal, April 1985

Heinz, Ulrich
Annals of Physics, Vol. 161, Issue 1
DOI: 10.1016/0003-4916(85)90336-7

Off-equilibrium sphaleron transitions in the glasma
journal, April 2016

Mace, Mark; Schlichting, Sören; Venugopalan, Raju
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.074036

Worldline construction of a covariant chiral kinetic theory
journal, July 2017

Mueller, Niklas; Venugopalan, Raju
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.016023

Global anomalies, discrete symmetries and hydrodynamic effective actions
journal, January 2019

Glorioso, Paolo; Liu, Hong; Rajagopal, Srivatsan
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/JHEP01(2019)043

Chiral and Gravitational Anomalies on Fermi Surfaces
journal, October 2013

Başar, Gökçe; Kharzeev, Dmitri E.; Zahed, Ismail
Physical Review Letters, Vol. 111, Issue 16
DOI: 10.1103/PhysRevLett.111.161601

Lorentz Invariance in Chiral Kinetic Theory
journal, October 2014

Chen, Jing-Yuan; Son, Dam T.; Stephanov, Mikhail A.
Physical Review Letters, Vol. 113, Issue 18
DOI: 10.1103/PhysRevLett.113.182302

CGC formalism with two sources
journal, January 2007

Hatta, Yoshitaka
Nuclear Physics A, Vol. 781, Issue 1-2
DOI: 10.1016/j.nuclphysa.2006.10.076

High gluon densities in heavy ion collisions
journal, February 2017

Blaizot, Jean-Paul
Reports on Progress in Physics, Vol. 80, Issue 3
DOI: 10.1088/1361-6633/aa5435

Deriving the hard thermal loops of QCD from classical transport theory
journal, May 1994

Kelly, P. F.; Liu, Q.; Lucchesi, C.
Physical Review Letters, Vol. 72, Issue 22
DOI: 10.1103/PhysRevLett.72.3461

Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
journal, November 2014

Karabali, Dimitra; Nair, V. P.
Physical Review D, Vol. 90, Issue 10
DOI: 10.1103/PhysRevD.90.105018

Chiral Anomaly and Local Polarization Effect from the Quantum Kinetic Approach
journal, December 2012

Gao, Jian-Hua; Liang, Zuo-Tang; Pu, Shi
Physical Review Letters, Vol. 109, Issue 23
DOI: 10.1103/PhysRevLett.109.232301

Polarized beams in high energy storage rings
journal, November 1984

Montague, B.
Physics Reports, Vol. 113, Issue 1
DOI: 10.1016/0370-1573(84)90031-0

Particles with non abelian charges
journal, October 2013

Bastianelli, Fiorenzo; Bonezzi, Roberto; Corradini, Olindo
Journal of High Energy Physics, Vol. 2013, Issue 10
DOI: 10.1007/JHEP10(2013)098

Group Theoretical Discussion of Relativistic Wave Equations
journal, May 1948

Bargmann, V.; Wigner, E. P.
Proceedings of the National Academy of Sciences, Vol. 34, Issue 5
DOI: 10.1073/pnas.34.5.211

Particle spin dynamics as the grassmann variant of classical mechanics
journal, April 1977

Berezin, F. A.; Marinov, M. S.
Annals of Physics, Vol. 104, Issue 2
DOI: 10.1016/0003-4916(77)90335-9

Berry Phase Correction to Electron Density of States in Solids
journal, September 2005

Xiao, Di; Shi, Junren; Niu, Qian
Physical Review Letters, Vol. 95, Issue 13
DOI: 10.1103/PhysRevLett.95.137204

Effective dynamics of soft non-Abelian gauge fields at finite temperature
journal, May 1998

Bödeker, Dietrich
Physics Letters B, Vol. 426, Issue 3-4
DOI: 10.1016/S0370-2693(98)00279-2

Anticommuting variables, internal degrees of freedom, and the Wilson loop
journal, January 1981

Barducci, A.; Casalbuoni, R.; Lusanna, L.
Nuclear Physics B, Vol. 180, Issue 1
DOI: 10.1016/0550-3213(81)90158-9

Transport coefficients in high temperature gauge theories (I): leading-log results
journal, November 2000

Arnold, Peter; Moore, Guy David; Yaffe, Laurence G.
Journal of High Energy Physics, Vol. 2000, Issue 11
DOI: 10.1088/1126-6708/2000/11/001

Second-quantized formulation of geometric phases
journal, July 2005

Deguchi, Shinichi; Fujikawa, Kazuo
Physical Review A, Vol. 72, Issue 1
DOI: 10.1103/PhysRevA.72.012111

Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
journal, June 1999

Sundaram, Ganesh; Niu, Qian
Physical Review B, Vol. 59, Issue 23
DOI: 10.1103/PhysRevB.59.14915

Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
journal, November 2012

Son, Dam Thanh; Yamamoto, Naoki
Physical Review Letters, Vol. 109, Issue 18
DOI: 10.1103/PhysRevLett.109.181602

Characteristics of chiral anomaly in view of various applications
journal, January 2018

Fujikawa, Kazuo
Physical Review D, Vol. 97, Issue 1
DOI: 10.1103/PhysRevD.97.016018

Supersymmetries and the pseudoclassical relativistic electron
journal, October 1976

Barducci, A.; Casalbuoni, R.; Lusanna, L.
Il Nuovo Cimento A, Vol. 35, Issue 3
DOI: 10.1007/BF02730291

Effective transport equations for non-Abelian plasmas
journal, November 1999

Litim, Daniel F.; Manuel, Cristina
Nuclear Physics B, Vol. 562, Issue 1-2
DOI: 10.1016/S0550-3213(99)00531-3

Berry phase, Lorentz covariance, and anomalous velocity for Dirac and Weyl particles
journal, January 2015

Stone, Michael; Dwivedi, Vatsal; Zhou, Tianci
Physical Review D, Vol. 91, Issue 2
DOI: 10.1103/PhysRevD.91.025004

Soft amplitudes in hot gauge theories: A general analysis
journal, June 1990

Braaten, Eric; Pisarski, Robert D.
Nuclear Physics B, Vol. 337, Issue 3
DOI: 10.1016/0550-3213(90)90508-B

Evaluation of radiative spin polarization in an electron storage ring
journal, February 1981

Chao, Alexander W.
Nuclear Instruments and Methods, Vol. 180, Issue 1
DOI: 10.1016/0029-554X(81)90006-9

Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings
journal, May 1996

D'Hoker, Eric; Gagné, Darius G.
Nuclear Physics B, Vol. 467, Issue 1-2
DOI: 10.1016/0550-3213(96)00125-3

The anomalous gluon contribution to polarized leptoproduction
journal, September 1988

Altarelli, G.; Ross, G. G.
Physics Letters B, Vol. 212, Issue 3
DOI: 10.1016/0370-2693(88)91335-4

Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
journal, March 2016

Yamamoto, Naoki
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.065017

Geometric phases in the asymptotic theory of coupled wave equations
journal, October 1991

Littlejohn, Robert G.; Flynn, William G.
Physical Review A, Vol. 44, Issue 8
DOI: 10.1103/PhysRevA.44.5239

From hard thermal loops to Langevin dynamics
journal, October 1999

Bödeker, Dietrich
Nuclear Physics B, Vol. 559, Issue 1-2
DOI: 10.1016/S0550-3213(99)00435-6

The effects of topological charge change in heavy ion collisions: “Event by event and violation”
journal, May 2008

Kharzeev, Dmitri E.; McLerran, Larry D.; Warringa, Harmen J.
Nuclear Physics A, Vol. 803, Issue 3-4
DOI: 10.1016/j.nuclphysa.2008.02.298

Tachyon-free dual model with a positive-intercept trajectory
journal, March 1971

Neveu, A.; Schwarz, J. H.
Physics Letters B, Vol. 34, Issue 6
DOI: 10.1016/0370-2693(71)90669-1

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journal, July 2017

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journal, May 2009

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DOI: 10.1016/j.nuclphysb.2008.12.021

Fluids, anomalies, and the chiral magnetic effect: A group-theoretic formulation
journal, July 2012

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Physical Review D, Vol. 86, Issue 2
DOI: 10.1103/PhysRevD.86.025012

A Lagrangian formulation of the classical and quantum dynamics of spinning particles
journal, January 1977

Brink, L.; Di Vecchia, P.; Howe, P.
Nuclear Physics B, Vol. 118, Issue 1-2
DOI: 10.1016/0550-3213(77)90364-9

Computing quark and gluon distribution functions for very large nuclei
journal, March 1994

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Physical Review D, Vol. 49, Issue 5
DOI: 10.1103/PhysRevD.49.2233

Quantum transport theory for abelian plasmas
journal, February 1987

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Annals of Physics, Vol. 173, Issue 2
DOI: 10.1016/0003-4916(87)90169-2

Berry Phase Correction to Electron Density in Solids and "Exotic" Dynamics
journal, March 2006

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DOI: 10.1142/S0217984906010573

The angular momentum controversy: What’s it all about and does it matter?
journal, August 2014

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Physics Reports, Vol. 541, Issue 3
DOI: 10.1016/j.physrep.2014.02.010

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journal, August 2018

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Nuclear Physics B, Vol. 933
DOI: 10.1016/j.nuclphysb.2018.06.005

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journal, January 1988

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Journal of Geometry and Physics, Vol. 5, Issue 3
DOI: 10.1016/0393-0440(88)90031-9

Effective kinetic theory for high temperature gauge theories
journal, January 2003

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DOI: 10.1088/1126-6708/2003/01/030

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journal, May 2011

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DOI: 10.1103/PhysRevD.83.105025

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journal, November 1976

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Physics Letters B, Vol. 65, Issue 3
DOI: 10.1016/0370-2693(76)90183-0

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journal, January 2016

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DOI: 10.1007/JHEP01(2016)072

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journal, January 2012

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DOI: 10.1142/S2010194512009129

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journal, December 1982

Barducci, A.
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DOI: 10.1016/0370-2693(82)90611-6

Wigner functional of fermionic fields
journal, March 2013

Mrówczyński, Stanisław
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DOI: 10.1103/PhysRevD.87.065026

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journal, April 2013

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DOI: 10.1103/PhysRevD.87.085016

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journal, September 2017

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DOI: 10.1103/PhysRevD.96.051902

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journal, December 2013

Dwivedi, Vatsal; Stone, Michael
Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 2
DOI: 10.1088/1751-8113/47/2/025401

Works referencing / citing this record:

Magnetic fields in heavy ion collisions: flow and charge transport
journal, March 2020

Inghirami, Gabriele; Mace, Mark; Hirono, Yuji
The European Physical Journal C, Vol. 80, Issue 3
DOI: 10.1140/epjc/s10052-020-7847-4

Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019

Hongo, Masaru; Hidaka, Yoshimasa
Particles, Vol. 2, Issue 2
DOI: 10.3390/particles2020018

Relativistic quantum kinetic theory for massive fermions and spin effects
journal, September 2019

Gao, Jian-Hua; Liang, Zuo-Tang
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/physrevd.100.056021

Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log
journal, September 2019

Li, Shiyong; Yee, Ho-Ung
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/physrevd.100.056022

Non-Abelian anomalies in multi-Weyl semimetals
journal, January 2020

Dantas, Renato M. A.; Peña-Benitez, Francisco; Roy, Bitan
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.013007

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Title: Constructing phase space distributions with internal symmetries

Abstract

Citation Formats

Phase space representation of quantum dynamics journal, August 2010

Small- x Asymptotics of the Quark Helicity Distribution journal, January 2017

Quark-gluon transport theory II. Color response and color correlations in a quark-gluon plasma journal, April 1986

Supersymmetry, supergravity theories and the dual spinor model journal, April 1977

Field theory without Feynman diagrams: One-loop effective actions journal, October 1992

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The role of the axial anomaly in measuring spin-dependent parton distributions journal, November 1988

The Color Glass Condensate journal, November 2010

One-loop effective actions and 2D hydrodynamics with anomalies journal, June 2015

Quantum anomaly and geometric phase: Their basic differences journal, January 2006

Publisher’s Note: Berry Phase Correction to Electron Density of States in Solids [Phys. Rev. Lett. 95 , 137204 (2005)] journal, October 2005

Field theory interpretation of supergauges in dual models journal, November 1971

Effective field theory approach to high-temperature thermodynamics journal, June 1995

Classical transport theory and hard thermal loops in the quark-gluon plasma journal, September 1994

Equivalence of the spinning superparticle descriptions with grassmann variables or with c-number spinors journal, January 1989

Wigner Distribution Function and Coherent State of a Fermion journal, May 1989

Classical scalar and spinning particles interacting with external Yang-Mills fields journal, June 1977

The g1 problem: Deep inelastic electron scattering and the spin of the proton journal, June 1990

Erratum to: Helicity evolution at small x journal, October 2016

Perturbative quantum field theory in the string-inspired formalism journal, December 2001

Hydrodynamics with Triangle Anomalies journal, November 2009

Field and particle equations for the classical Yang-Mills field and particles with isotopic spin journal, February 1970

Classical description of a particle interacting with a non-Abelian gauge field journal, April 1977

Noncanonical Hamiltonian mechanics and its application to magnetic field line flow journal, November 1983

Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory journal, March 2018

Chiral magnetic effect journal, October 2008

Color Glass Condensate in Schwinger–Keldysh QCD journal, January 2014

Mixed symmetry Wilson-loop interactions in the worldline formalism journal, September 2016

Relativistic chiral kinetic theory from quantum field theories journal, May 2017

Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase journal, May 2014

Minding one’s P’s and Q’s: From the one loop effective action in quantum field theory to classical transport theory journal, July 2000

Complete and consistent chiral transport from Wigner function formalism journal, August 2018

Prospects for Spin Physics at RHIC journal, December 2000

Coherent States of Fermi Operators and the Path Integral journal, August 1978

Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma journal, October 2015

Axial couplings on the world-line journal, January 1996

Disentangling covariant Wigner functions for chiral fermions journal, August 2018

On the Wess–Zumino term in high energy QCD journal, April 2006

Quantal Phase Factors Accompanying Adiabatic Changes journal, March 1984

Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations journal, September 2016

Yukawa couplings for the spinning particle and the world-line formalism journal, May 1995

Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory journal, June 1999

Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation journal, June 2013

Quark Wigner distributions and orbital angular momentum journal, July 2011

Kinetic Theory for Plasmas with Non-Abelian Interactions journal, August 1983

Chiral Kinetic Theory journal, October 2012

Nonequilibrium study of the chiral magnetic effect from real-time simulations with dynamical fermions journal, February 2017

Quark orbital angular momentum from Wigner distributions and light-cone wave functions journal, June 2012

Transport coefficients in high temperature gauge theories, 2. Beyond leading log journal, May 2003

Quark-Gluon transport theory journal, November 1989

Dual Theory for Free Fermions journal, May 1971

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all journal, September 2016

Semi-classical transport theory for non-Abelian plasmas journal, July 2002

The chiral magnetic effect in hydrodynamical approach journal, March 2011

Classical version of the non-Abelian gauge anomaly journal, August 2013

Anomalous transport model study of chiral magnetic effects in heavy ion collisions journal, October 2016

Lagrangian and Hamiltonian descriptions of Yang-Mills particles journal, June 1978

Chiral fermions as classical massless spinning particles journal, February 2015

Geometric phases and hidden local gauge symmetry journal, July 2005

Pseudoclassical description of Weyl particles journal, March 1981

Exact solutions in the Yang-Mills-Wong theory journal, April 1998

The quark–gluon plasma: collective dynamics and hard thermal loops journal, March 2002

Transport Theory for a Two-Flavor Color Superconductor journal, July 2001

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field journal, May 1959

Some features of the glasma journal, June 2006

Quark-gluon transport theory I. The classical theory journal, April 1985

Off-equilibrium sphaleron transitions in the glasma journal, April 2016

Worldline construction of a covariant chiral kinetic theory journal, July 2017

Global anomalies, discrete symmetries and hydrodynamic effective actions journal, January 2019

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Phase space representation of quantum dynamics
journal, August 2010

Small- $x$ Asymptotics of the Quark Helicity Distribution
journal, January 2017

Quark-gluon transport theory II. Color response and color correlations in a quark-gluon plasma
journal, April 1986

Supersymmetry, supergravity theories and the dual spinor model
journal, April 1977

Field theory without Feynman diagrams: One-loop effective actions
journal, October 1992

Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
journal, October 2014

Random walks of partons in $S U (N_{c})$ and classical representations of color charges in QCD at small $x$
journal, November 2004

Worldline path integrals for fermions with general couplings
journal, May 1996

The role of the axial anomaly in measuring spin-dependent parton distributions
journal, November 1988

The Color Glass Condensate
journal, November 2010

One-loop effective actions and 2D hydrodynamics with anomalies
journal, June 2015

Quantum anomaly and geometric phase: Their basic differences
journal, January 2006

Publisher’s Note: Berry Phase Correction to Electron Density of States in Solids [Phys. Rev. Lett. 95 , 137204 (2005)]
journal, October 2005

Field theory interpretation of supergauges in dual models
journal, November 1971

Effective field theory approach to high-temperature thermodynamics
journal, June 1995

Classical transport theory and hard thermal loops in the quark-gluon plasma
journal, September 1994

Equivalence of the spinning superparticle descriptions with grassmann variables or with c-number spinors
journal, January 1989

Wigner Distribution Function and Coherent State of a Fermion
journal, May 1989

Classical scalar and spinning particles interacting with external Yang-Mills fields
journal, June 1977

The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990

Erratum to: Helicity evolution at small x
journal, October 2016

Perturbative quantum field theory in the string-inspired formalism
journal, December 2001

Hydrodynamics with Triangle Anomalies
journal, November 2009

Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
journal, February 1970

Classical description of a particle interacting with a non-Abelian gauge field
journal, April 1977

Noncanonical Hamiltonian mechanics and its application to magnetic field line flow
journal, November 1983

Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory
journal, March 2018

Chiral magnetic effect
journal, October 2008

Color Glass Condensate in Schwinger–Keldysh QCD
journal, January 2014

Mixed symmetry Wilson-loop interactions in the worldline formalism
journal, September 2016

Relativistic chiral kinetic theory from quantum field theories
journal, May 2017

Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
journal, May 2014

Minding one’s P’s and Q’s: From the one loop effective action in quantum field theory to classical transport theory
journal, July 2000

Complete and consistent chiral transport from Wigner function formalism
journal, August 2018

Prospects for Spin Physics at RHIC
journal, December 2000

Coherent States of Fermi Operators and the Path Integral
journal, August 1978

Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
journal, October 2015

Axial couplings on the world-line
journal, January 1996

Disentangling covariant Wigner functions for chiral fermions
journal, August 2018

On the Wess–Zumino term in high energy QCD
journal, April 2006

Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984

Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations
journal, September 2016

Yukawa couplings for the spinning particle and the world-line formalism
journal, May 1995

Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory
journal, June 1999

Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation
journal, June 2013

Quark Wigner distributions and orbital angular momentum
journal, July 2011

Kinetic Theory for Plasmas with Non-Abelian Interactions
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Chiral Kinetic Theory
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Quark orbital angular momentum from Wigner distributions and light-cone wave functions
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Transport coefficients in high temperature gauge theories, 2. Beyond leading log
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Quark-Gluon transport theory
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Dual Theory for Free Fermions
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Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

Semi-classical transport theory for non-Abelian plasmas
journal, July 2002

The chiral magnetic effect in hydrodynamical approach
journal, March 2011

Classical version of the non-Abelian gauge anomaly
journal, August 2013

Anomalous transport model study of chiral magnetic effects in heavy ion collisions
journal, October 2016

Lagrangian and Hamiltonian descriptions of Yang-Mills particles
journal, June 1978

Chiral fermions as classical massless spinning particles
journal, February 2015

Geometric phases and hidden local gauge symmetry
journal, July 2005

Pseudoclassical description of Weyl particles
journal, March 1981

Exact solutions in the Yang-Mills-Wong theory
journal, April 1998

The quark–gluon plasma: collective dynamics and hard thermal loops
journal, March 2002

Transport Theory for a Two-Flavor Color Superconductor
journal, July 2001

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959

Some features of the glasma
journal, June 2006

Quark-gluon transport theory I. The classical theory
journal, April 1985

Off-equilibrium sphaleron transitions in the glasma
journal, April 2016

Worldline construction of a covariant chiral kinetic theory
journal, July 2017

Global anomalies, discrete symmetries and hydrodynamic effective actions
journal, January 2019

Chiral and Gravitational Anomalies on Fermi Surfaces
journal, October 2013

Lorentz Invariance in Chiral Kinetic Theory
journal, October 2014

CGC formalism with two sources
journal, January 2007

High gluon densities in heavy ion collisions
journal, February 2017

Deriving the hard thermal loops of QCD from classical transport theory
journal, May 1994

Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
journal, November 2014

Chiral Anomaly and Local Polarization Effect from the Quantum Kinetic Approach
journal, December 2012

Polarized beams in high energy storage rings
journal, November 1984

Particles with non abelian charges
journal, October 2013