Chiral electric separation effect in the quark-gluon plasma

Jiang, Yin; Liao, Jinfeng; Huang, Xu-Guang

doi:10.1103/PhysRevD.91.045001

Title: Chiral electric separation effect in the quark-gluon plasma

Journal Article · Mon Feb 02 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.045001· OSTI ID:1183286

Jiang, Yin ^[1]; Liao, Jinfeng ^[2]; Huang, Xu-Guang ^[3]

Indiana Univ., Bloomington, IN (United States)
Indiana Univ., Bloomington, IN (United States); Brookhaven National Lab., Upton, NY (United States)
Fudan Univ., Shanghai (China)

In this paper we introduce and compute a new transport coefficient for the quark-gluon plasma (QGP) at very high temperature. This new coefficient σ_χe, the CESE (Chiral Electric Separation Effect) conductivity, quantifies the amount of axial current J_A that is generated in response to an externally applied electric field eE: J_A=σ_χe(eE). Starting with a rather general argument in the kinetic theory framework, we show how a characteristic structure σ_χe∝μμ5 emerges, which also indicates the CESE as an anomalous transport effect occurring only in a parity-odd environment with nonzero axial charge density μ5 ≠ 0. Using the Hard-Thermal-Loop framework, the CESE conductivity for the QGP is found to be σ_χe = (#)TT_rfQ_eQ_A/g⁴ln(1/g) μμ5/T² to the leading-log accuracy with the numerical constant (#) depending on favor content, e.g., (#)=14.5163 for u, d light flavors.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC00112704

OSTI ID:: 1183286

Report Number(s):: BNL-107763-2015-JA; PRVDAQ; R&D Project: PO-3; TRN: US1600843

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 4; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 48 works

Citation information provided by
Web of Science

References (65)

Parity violation in hot QCD: Why it can happen, and how to look for it Kharzeev, Dmitri Physics Letters B, Vol. 633, Issue 2-3 https://doi.org/10.1016/j.physletb.2005.11.075	journal	February 2006
Charge separation induced by -odd bubbles in QCD matter Kharzeev, Dmitri; Zhitnitsky, Ariel Nuclear Physics A, Vol. 797, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2007.10.001	journal	December 2007
The effects of topological charge change in heavy ion collisions: “Event by event and violation” Kharzeev, Dmitri E.; McLerran, Larry D.; Warringa, Harmen J. Nuclear Physics A, Vol. 803, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.02.298	journal	May 2008
Local violation effects and thermalization in QCD: Views from quantum field theory and holography Zhitnitsky, Ariel R. Nuclear Physics A, Vol. 886 https://doi.org/10.1016/j.nuclphysa.2012.05.003	journal	July 2012
QCD as a topologically ordered system Zhitnitsky, Ariel R. Annals of Physics, Vol. 336 https://doi.org/10.1016/j.aop.2013.05.020	journal	September 2013
Chiral magnetic effect Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J. Physical Review D, Vol. 78, Issue 7 https://doi.org/10.1103/PhysRevD.78.074033	journal	October 2008
Holographic Chiral magnetic conductivity Yee, Ho-Ung Journal of High Energy Physics, Vol. 2009, Issue 11 https://doi.org/10.1088/1126-6708/2009/11/085	journal	November 2009
Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model Rebhan, Anton; Schmitt, Andreas; Stricker, Stefan A. Journal of High Energy Physics, Vol. 2010, Issue 1 https://doi.org/10.1007/JHEP01(2010)026	journal	January 2010
Holographic anomalous conductivities and the chiral magnetic effect Gynther, Antti; Landsteiner, Karl; Pena-Benitez, Francisco Journal of High Energy Physics, Vol. 2011, Issue 2 https://doi.org/10.1007/JHEP02(2011)110	journal	February 2011
The chiral magnetic effect in hydrodynamical approach Isachenkov, M. V.; Sadofyev, A. V. Physics Letters B, Vol. 697, Issue 4 https://doi.org/10.1016/j.physletb.2011.02.041	journal	March 2011
Fluid-Gravity Model for the Chiral Magnetic Effect Kalaydzhyan, Tigran; Kirsch, Ingo Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.211601	journal	May 2011
Anisotropic hydrodynamics, holography, and the chiral magnetic effect Gahramanov, Ilmar; Kalaydzhyan, Tigran; Kirsch, Ingo Physical Review D, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevD.85.126013	journal	June 2012
Chiral conductivities and effective field theory Jensen, Kristan; Kovtun, Pavel; Ritz, Adam Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)186	journal	October 2013
Radiative corrections to chiral separation effect in QED Gorbar, E. V.; Miransky, V. A.; Shovkovy, I. A. Physical Review D, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevD.88.025025	journal	July 2013
Axial Current Generation from Electric Field: Chiral Electric Separation Effect Huang, Xu-Guang; Liao, Jinfeng Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.232302	journal	June 2013
Chiral magnetic wave Kharzeev, Dmitri E.; Yee, Ho-Ung Physical Review D, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevD.83.085007	journal	April 2011
Chiral Magnetic Wave at Finite Baryon Density and the Electric Quadrupole Moment of the Quark-Gluon Plasma Burnier, Yannis; Kharzeev, Dmitri E.; Liao, Jinfeng Physical Review Letters, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevLett.107.052303	journal	July 2011
Quantum anomalies in dense matter Son, D. T.; Zhitnitsky, Ariel R. Physical Review D, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevD.70.074018	journal	October 2004
Anomalous axion interactions and topological currents in dense matter Metlitski, Max A.; Zhitnitsky, Ariel R. Physical Review D, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevD.72.045011	journal	August 2005
Hydrodynamics with Triangle Anomalies Son, Dam T.; Surówka, Piotr Physical Review Letters, Vol. 103, Issue 19 https://doi.org/10.1103/PhysRevLett.103.191601	journal	November 2009
Testing the Chiral Magnetic and Chiral Vortical Effects in Heavy Ion Collisions Kharzeev, Dmitri E.; Son, Dam T. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.062301	journal	February 2011
The Chiral Magnetic Effect and anomaly-induced transport Kharzeev, Dmitri E. Progress in Particle and Nuclear Physics, Vol. 75 https://doi.org/10.1016/j.ppnp.2014.01.002	journal	March 2014
Strongly Interacting Matter in Magnetic Fields Kharzeev, Dmitri; Landsteiner, Karl; Schmitt, Andreas Lecture Notes in Physics https://doi.org/10.1007/978-3-642-37305-3	book	January 2013
Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation Abelev, B. I.; Aggarwal, M. M.; Ahammed, Z. Physical Review Letters, Vol. 103, Issue 25 https://doi.org/10.1103/PhysRevLett.103.251601	journal	December 2009
Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy-ion collisions Abelev, B. I.; Aggarwal, M. M.; Ahammed, Z. Physical Review C, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevC.81.054908	journal	May 2010
New method for the experimental study of topological effects in the quark-gluon plasma Ajitanand, N. N.; Lacey, Roy A.; Taranenko, A. Physical Review C, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevC.83.011901	journal	January 2011
Charge separation relative to the reaction plane in Pb-Pb collisions at $\sqrt{s_{N N}} = 2.76 TeV$ Abelev, B.; Adam, J.; Adamová, D. Physical Review Letters, Vol. 110, Issue 1 https://doi.org/10.1103/PhysRevLett.110.012301	journal	January 2013
Charge asymmetry dependency of π ⁺ / π ⁻ elliptic flow in Au + Au collisions at = 200 GeV Ke, Hongwei Journal of Physics: Conference Series, Vol. 389 https://doi.org/10.1088/1742-6596/389/1/012035	journal	November 2012
Beam-Energy Dependence of Charge Separation along the Magnetic Field in $Au + Au$ Collisions at RHIC Adamczyk, L.; Adkins, J. K.; Agakishiev, G. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.052302	journal	July 2014
Remarks on possible local parity violation in heavy ion collisions Bzdak, Adam; Koch, Volker; Liao, Jinfeng Physical Review C, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevC.81.031901	journal	March 2010
Charge separation effect in relativistic heavy ion collisions Liao, Jinfeng; Koch, Volker; Bzdak, Adam Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.054902	journal	November 2010
Azimuthal correlations from transverse momentum conservation and possible local parity violation Bzdak, Adam; Koch, Volker; Liao, Jinfeng Physical Review C, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevC.83.014905	journal	January 2011
Charge fluctuations from the chiral magnetic effect in nuclear collisions Müller, Berndt; Schäfer, Andreas Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.057902	journal	November 2010
Electric charge separation in strong transient magnetic fields Asakawa, Masayuki; Majumder, Abhijit; Müller, Berndt Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.064912	journal	June 2010
Charge conservation at energies available at the BNL Relativistic Heavy Ion Collider and contributions to local parity violation observables Schlichting, Sören; Pratt, Scott Physical Review C, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevC.83.014913	journal	January 2011
Effects of cluster particle correlations on local parity violation observables Wang, Fuqiang Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.064902	journal	June 2010
Constituent quark scaling violation due to baryon number transport Dunlop, J. C.; Lisa, M. A.; Sorensen, P. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044914	journal	October 2011
Effects of hadronic potentials on elliptic flows in relativistic heavy ion collisions Xu, Jun; Chen, Lie-Wen; Ko, Che Ming Physical Review C, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevC.85.041901	journal	April 2012
Hydrodynamics at large baryon densities: Understanding proton versus anti-proton $v_{2}$ and other puzzles Steinheimer, J.; Koch, V.; Bleicher, M. Physical Review C, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevC.86.044903	journal	October 2012
Holographic chiral electric separation effect Pu, Shi; Wu, Shang-Yu; Yang, Di-Lun Physical Review D, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevD.89.085024	journal	April 2014
Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids Son, Dam Thanh; Yamamoto, Naoki Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.181602	journal	November 2012
Chiral Kinetic Theory Stephanov, M. A.; Yin, Y. Physical Review Letters, Vol. 109, Issue 16 https://doi.org/10.1103/PhysRevLett.109.162001	journal	October 2012
Chiral Anomaly and Local Polarization Effect from the Quantum Kinetic Approach Gao, Jian-Hua; Liang, Zuo-Tang; Pu, Shi Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.232301	journal	December 2012
Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation Chen, Jiunn-Wei; Pu, Shi; Wang, Qun Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.262301	journal	June 2013
Chiral magnetic effect at weak coupling with relaxation dynamics Satow, Daisuke; Yee, Ho-Ung Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.014027	journal	July 2014
Anomalies and time reversal invariance in relativistic hydrodynamics: The second order and higher dimensional formulations Kharzeev, Dmitri E.; Yee, Ho-Ung Physical Review D, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevD.84.045025	journal	August 2011
Hydrodynamic transport coefficients in relativistic scalar field theory Jeon, Sangyong Physical Review D, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevD.52.3591	journal	September 1995
From quantum field theory to hydrodynamics: Transport coefficients and effective kinetic theory Jeon, Sangyong; Yaffe, Laurence G. Physical Review D, Vol. 53, Issue 10 https://doi.org/10.1103/PhysRevD.53.5799	journal	May 1996
Color conductivity and ladder summation in hot QCD Martínez Resco, J. M.; Valle Basagoiti, M. A. Physical Review D, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevD.63.056008	journal	February 2001
Transport coefficients and ladder summation in hot gauge theories Valle Basagoiti, Manuel A. Physical Review D, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevD.66.045005	journal	August 2002
Ward identity and electrical conductivity in hot QED Aarts, Gert; Resco, Jose M. Martínez Journal of High Energy Physics, Vol. 2002, Issue 11 https://doi.org/10.1088/1126-6708/2002/11/022	journal	November 2002
Transport coefficients in large N _f gauge theories with massive fermions Aarts, Gert; Resco, Jose M. Martinez Journal of High Energy Physics, Vol. 2005, Issue 03 https://doi.org/10.1088/1126-6708/2005/03/074	journal	March 2005
Erratum: Leading-order calculation of electric conductivity in hot quantum electrodynamics from diagrammatic methods [Phys. Rev. D 75 , 025014 (2007)] Gagnon, Jean-Sébastien; Jeon, Sangyong Physical Review D, Vol. 76, Issue 8 https://doi.org/10.1103/PhysRevD.76.089902	journal	October 2007
Leading order calculation of shear viscosity in hot quantum electrodynamics from diagrammatic methods Gagnon, Jean-Sébastien; Jeon, Sangyong Physical Review D, Vol. 76, Issue 10 https://doi.org/10.1103/PhysRevD.76.105019	journal	November 2007
QED electrical conductivity using the two-particle-irreducible effective action Carrington, M. E.; Kovalchuk, E. Physical Review D, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevD.76.045019	journal	August 2007
Transport coefficients in high temperature gauge theories (I): leading-log results Arnold, Peter; Moore, Guy David; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2000, Issue 11 https://doi.org/10.1088/1126-6708/2000/11/001	journal	November 2000
Transport coefficients in high temperature gauge theories, 2. Beyond leading log Arnold, Peter; Moore, Guy D.; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2003, Issue 05 https://doi.org/10.1088/1126-6708/2003/05/051	journal	May 2003
Pion gas viscosity at low temperature and density Dobado, Antonio; Santalla, Silvia N. Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.096011	journal	May 2002
Shear Viscosity in the O( N ) Model Aarts, Gert; Resco, Jose M. Martinez Journal of High Energy Physics, Vol. 2004, Issue 02 https://doi.org/10.1088/1126-6708/2004/02/061	journal	February 2004
Shear viscosity to entropy density ratio of QCD below the deconfinement temperature Chen, Jiunn-Wei; Nakano, Eiji Physics Letters B, Vol. 647, Issue 5-6 https://doi.org/10.1016/j.physletb.2007.02.026	journal	April 2007
Shear and bulk viscosities of a gluon plasma in perturbative QCD: Comparison of different treatments for the $g g \leftrightarrow g g g$ process Chen, Jiunn-Wei; Deng, Jian; Dong, Hui Physical Review C, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevC.87.024910	journal	February 2013
Kinetic theory with Berry curvature from quantum field theories Son, Dam Thanh; Yamamoto, Naoki Physical Review D, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevD.87.085016	journal	April 2013
Chiral Plasma Instabilities Akamatsu, Yukinao; Yamamoto, Naoki Physical Review Letters, Vol. 111, Issue 5 https://doi.org/10.1103/PhysRevLett.111.052002	journal	August 2013
Anisotropic hydrodynamics, bulk viscosities, and $r$ -modes of strange quark stars with strong magnetic fields Huang, Xu-Guang; Huang, Mei; Rischke, Dirk H. Physical Review D, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevD.81.045015	journal	February 2010
Kubo formulas for relativistic fluids in strong magnetic fields Huang, Xu-Guang; Sedrakian, Armen; Rischke, Dirk H. Annals of Physics, Vol. 326, Issue 12 https://doi.org/10.1016/j.aop.2011.08.001	journal	December 2011

Cited By (11)

Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions Hattori, Koichi; Huang, Xu-Guang Nuclear Science and Techniques, Vol. 28, Issue 2 https://doi.org/10.1007/s41365-016-0178-3	journal	January 2017
Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review Huang, Xu-Guang Reports on Progress in Physics, Vol. 79, Issue 7 https://doi.org/10.1088/0034-4885/79/7/076302	journal	June 2016
Chiral magnetic plasmons in anomalous relativistic matter Gorbar, E. V.; Miransky, V. A.; Shovkovy, I. A. Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/physrevb.95.115202	journal	March 2017
Deconfinement and chiral phase transitions in quark matter with a strong electric field Tavares, William R.; Farias, Ricardo L. S.; Avancini, Sidney S. Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/physrevd.101.016017	journal	January 2020
Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma Jiang, Yin; Huang, Xu-Guang; Liao, Jinfeng Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/physrevd.92.071501	journal	October 2015
Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma Jiang, Yin; Huang, Xu-Guang; Liao, Jinfeng arXiv https://doi.org/10.48550/arxiv.1504.03201	text	January 2015
Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review Huang, Xu-Guang arXiv https://doi.org/10.48550/arxiv.1509.04073	text	January 2015
Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization Pu, Shi; Roy, Victor; Rezzolla, Luciano arXiv https://doi.org/10.48550/arxiv.1602.04953	text	January 2016
Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion Pu, Shi; Yang, Di-Lun arXiv https://doi.org/10.48550/arxiv.1602.04954	text	January 2016
Vorticity in Heavy-Ion Collisions Deng, Wei-Tian; Huang, Xu-Guang arXiv https://doi.org/10.48550/arxiv.1603.06117	text	January 2016
Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons Gorbar, E. V.; Miransky, V. A.; Shovkovy, I. A. arXiv https://doi.org/10.48550/arxiv.1610.07625	text	January 2016

Similar Records

Analytic solution for the revised helicity evolution at small

x

and large

N_{c}

: New resummed gluon-gluon polarized anomalous dimension and intercept

Journal Article · Thu Jul 06 00:00:00 EDT 2023 · Physical Review. D. · OSTI ID:1183286

Borden, Jeremy; Kovchegov, Yuri V.

Damping of energetic gluons and quarks in high-temperature QCD

Journal Article · Wed Jan 01 00:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States) · OSTI ID:1183286

Burgess, C P; Marini, A L

Quark and gluon helicity evolution at small x: revised and updated

Journal Article · Fri Jul 15 00:00:00 EDT 2022 · Journal of High Energy Physics (Online) · OSTI ID:1183286

Cougoulic, Florian; Kovchegov, Yuri V.; Tarasov, Andrey; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
riken bnl research center

Title: Chiral electric separation effect in the quark-gluon plasma

Citation Formats

References (65)

Cited By (11)

Similar Records

Related Subjects