Zilch vortical effect, Berry phase, and kinetic theory

Huang, Xu-Guang; Mitkin, Pavel; Sadofyev, Andrey V.; Speranza, Enrico

doi:10.1007/jhep10(2020)117

Zilch vortical effect, Berry phase, and kinetic theory

Journal Article · Mon Oct 19 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2020)117· OSTI ID:1787290

Huang, Xu-Guang ^[1]; Mitkin, Pavel ^[2]; ^[3]; Speranza, Enrico ^[4]

Fudan Univ., Shanghai (China)
Inst. for Theoretical and Experimental Physics (ITEP), Moscow (Russia); Moscow Inst. of Physics and Technology (Russia)
Inst. for Theoretical and Experimental Physics (ITEP), Moscow (Russia); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Goethe Univ., Frankfurt am Main (Germany)

Rotating photon gas exhibits a chirality separation along the angular velocity which is manifested through a generation of helicity and zilch currents. In this paper we study this system using the corresponding Wigner function and construct elements of the covariant chiral kinetic theory for photons from first principles. The Wigner function is solved order-by-order in h and the unconstrained terms are fixed by matching with quantum field theory results. We further consider the zilch and helicity currents and show that both manifestations of the chirality transport originate in the Berry phase of photons similarly to other chiral effects. Constructing the kinetic description from the Wigner function we find that the frame vector needed to fix the definition of spin of a massless particle is, in fact, the vector of the residual gauge freedom for the free Maxwell theory. We also briefly comment on the possible relation between vortical responses in rotating systems of massless particles and the anomalies of underlying quantum field theory.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: LDRD; NSFC

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1787290

Report Number(s):: LA-UR--20-25498

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (63)

Quantum transport theory for abelian plasmas Vasak, David; Gyulassy, Miklos; Elze, Hans-Thomas Annals of Physics, Vol. 173, Issue 2 https://doi.org/10.1016/0003-4916(87)90169-2	journal	February 1987
Transport equations for the QCD gluon Wigner operator Elze, H. -Th.; Gyulassy, M.; Vasak, D. Physics Letters B, Vol. 177, Issue 3-4 https://doi.org/10.1016/0370-2693(86)90778-1	journal	September 1986
Photonic chiral current and its anomaly in a gravitational field Dolgov, A. D.; Khriplovich, I. B.; Vainshtein, A. I. Nuclear Physics B, Vol. 315, Issue 1 https://doi.org/10.1016/0550-3213(89)90451-3	journal	March 1989
Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly Hirono, Yuji; Kharzeev, Dmitri E.; Yin, Yi Physical Review D, Vol. 92, Issue 12 https://doi.org/10.1103/physrevd.92.125031	journal	December 2015
Numerical study of chiral plasma instability within the classical statistical field theory approach Buividovich, P. V.; Ulybyshev, M. V. Physical Review D, Vol. 94, Issue 2 https://doi.org/10.1103/physrevd.94.025009	journal	July 2016
Anomalous transport and generalized axial charge Kirilin, Vladimir P.; Sadofyev, Andrey V. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/physrevd.96.016019	journal	July 2017
Relativistic hydrodynamics with spin Florkowski, W.; Friman, Bengt; Jaiswal, A. GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2019-01205	text	January 2019
On consistency of hydrodynamic approximation for chiral media Avdoshkin, A.; Kirilin, V. P.; Sadofyev, A. V. arXiv https://doi.org/10.48550/arxiv.1402.3587	preprint	January 2014
Chiral fermions as classical massless spinning particles Duval, C.; Horvathy, P. A. arXiv https://doi.org/10.48550/arxiv.1406.0718	text	January 2014
A study of vorticity formation in high energy nuclear collisions Becattini, F.; Inghirami, G.; Rolando, V. arXiv https://doi.org/10.48550/arxiv.1501.04468	text	January 2015
Electrodynamics of dual superconducting chiral medium Li, Yang; Tuchin, Kirill arXiv https://doi.org/10.48550/arxiv.1708.08536	text	January 2017
On axial current in rotating and accelerating medium Prokhorov, G.; Teryaev, O.; Zakharov, V. arXiv https://doi.org/10.48550/arxiv.1805.12029	text	January 2018
Spin tensor and its role in non-equilibrium thermodynamics Becattini, F.; Florkowski, W.; Speranza, E. arXiv https://doi.org/10.48550/arxiv.1807.10994	text	January 2018
Relativistic hydrodynamics for spin-polarized fluids Florkowski, Wojciech; Ryblewski, Radoslaw; Kumar, Avdhesh arXiv https://doi.org/10.48550/arxiv.1811.04409	text	January 2018
Global anomalies, discrete symmetries and hydrodynamic effective actions Glorioso, Paolo; Liu, Hong; Rajagopal, Srivatsan Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)043	journal	January 2019
(Non)-renormalization of the chiral vortical effect coefficient Golkar, Siavash; Son, Dam T. Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)169	journal	February 2015
Chiral vortical effect for an arbitrary spin Huang, Xu-Guang; Sadofyev, Andrey V. Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)084	journal	March 2019
Holographic gravitational anomaly and chiral vortical effect Landsteiner, Karl; Megías, Eugenio; Melgar, Luis Journal of High Energy Physics, Vol. 2011, Issue 9 https://doi.org/10.1007/JHEP09(2011)121	journal	September 2011
Anomalous chiral transports and spin polarization in heavy-ion collisions Liu, Yu-Chen; Huang, Xu-Guang Nuclear Science and Techniques, Vol. 31, Issue 6 https://doi.org/10.1007/s41365-020-00764-z	journal	May 2020
Quark-Gluon transport theory Elze, Hans-Thomas; Heinz, Ulrich Physics Reports, Vol. 183, Issue 3 https://doi.org/10.1016/0370-1573(89)90059-8	journal	November 1989
Relativistic distribution function for particles with spin at local thermodynamical equilibrium Becattini, F.; Chandra, V.; Del Zanna, L. Annals of Physics, Vol. 338 https://doi.org/10.1016/j.aop.2013.07.004	journal	November 2013
Recent developments in transport phenomena in Weyl semimetals Hosur, Pavan; Qi, Xiaoliang Comptes Rendus Physique, Vol. 14, Issue 9-10 https://doi.org/10.1016/j.crhy.2013.10.010	journal	November 2013
On magnetostatics of chiral media Khaidukov, Z. V.; Kirilin, V. P.; Sadofyev, A. V. Nuclear Physics B, Vol. 934 https://doi.org/10.1016/j.nuclphysb.2018.07.009	journal	September 2018
On consistency of hydrodynamic approximation for chiral media Avdoshkin, A.; Kirilin, V. P.; Sadofyev, A. V. Physics Letters B, Vol. 755 https://doi.org/10.1016/j.physletb.2016.01.048	journal	April 2016
Electrodynamics of dual superconducting chiral medium Li, Yang; Tuchin, Kirill Physics Letters B, Vol. 776 https://doi.org/10.1016/j.physletb.2017.11.063	journal	January 2018
Spin tensor and its role in non-equilibrium thermodynamics Becattini, Francesco; Florkowski, Wojciech; Speranza, Enrico Physics Letters B, Vol. 789 https://doi.org/10.1016/j.physletb.2018.12.016	journal	February 2019
Fate of spin polarization in a relativistic fluid: An entropy-current analysis Hattori, Koichi; Hongo, Masaru; Huang, Xu-Guang Physics Letters B, Vol. 795 https://doi.org/10.1016/j.physletb.2019.05.040	journal	August 2019
Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report Kharzeev, D. E.; Liao, J.; Voloshin, S. A. Progress in Particle and Nuclear Physics, Vol. 88 https://doi.org/10.1016/j.ppnp.2016.01.001	journal	May 2016
Relativistic hydrodynamics for spin-polarized fluids Florkowski, Wojciech; Kumar, Avdhesh; Ryblewski, Radoslaw Progress in Particle and Nuclear Physics, Vol. 108 https://doi.org/10.1016/j.ppnp.2019.07.001	journal	September 2019
Global Λ hyperon polarization in nuclear collisions No authors listed Nature, Vol. 548, Issue 7665, p. 62-65 https://doi.org/10.1038/nature23004	journal	August 2017
Existence of a New Conservation Law in Electromagnetic Theory Lipkin, Daniel M. Journal of Mathematical Physics, Vol. 5, Issue 5 https://doi.org/10.1063/1.1704165	journal	May 1964
Conservation Laws for Free Fields Kibble, T. W. B. Journal of Mathematical Physics, Vol. 6, Issue 7 https://doi.org/10.1063/1.1704363	journal	July 1965
Landau levels for an electromagnetic wave Zyuzin, Vladimir A. Physical Review A, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevA.96.043830	journal	October 2017
Time-evolution of magnetic field in hot nuclear matter with fluctuating topological charge Tuchin, Kirill Physical Review C, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevC.102.014908	journal	July 2020
Λ polarization in peripheral heavy ion collisions Becattini, F.; Csernai, L. P.; Wang, D. J. Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevC.88.034905	journal	September 2013
Kinetic theory for massive spin − 1 / 2 particles from the Wigner-function formalism Weickgenannt, Nora; Sheng, Xin-li; Speranza, Enrico Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.056018	journal	September 2019
Chiral magnetic response to arbitrary axial imbalance Horváth, Miklós; Hou, Defu; Liao, Jinfeng Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.076026	journal	April 2020
Quantum field theory at finite temperature in a rotating system Vilenkin, Alexander Physical Review D, Vol. 21, Issue 8 https://doi.org/10.1103/PhysRevD.21.2260	journal	April 1980
Possible higher order correction to the chiral vortical conductivity in a gauge field plasma Hou, De-fu; Liu, Hui; Ren, Hai-cang Physical Review D, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevD.86.121703	journal	December 2012
Chiral fermions as classical massless spinning particles Duval, C.; Horváthy, P. A. Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.045013	journal	February 2015
Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma Manuel, Cristina; Torres-Rincon, Juan M. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074018	journal	October 2015
Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly Hirono, Yuji; Kharzeev, Dmitri E.; Yin, Yi Physical Review D, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevD.92.125031	journal	December 2015
Numerical study of chiral plasma instability within the classical statistical field theory approach Buividovich, P. V.; Ulybyshev, M. V. Physical Review D, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevD.94.025009	journal	July 2016
Relativistic chiral kinetic theory from quantum field theories Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.091901	journal	May 2017
Anomalous transport and generalized axial charge Kirilin, Vladimir P.; Sadofyev, Andrey V. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.016019	journal	July 2017
Chiral vortical effect for bosons Avkhadiev, Artur; Sadofyev, Andrey V. Physical Review D, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevD.96.045015	journal	August 2017
Photonic chiral vortical effect Yamamoto, Naoki Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.051902	journal	September 2017
Spin-dependent distribution functions for relativistic hydrodynamics of spin- 1 2 particles Florkowski, Wojciech; Friman, Bengt; Jaiswal, Amaresh Physical Review D, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevD.97.116017	journal	June 2018
Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion Stone, Michael; Kim, JiYoung Physical Review D, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevD.98.025012	journal	July 2018
Spin Hall effect of gravitational waves Yamamoto, Naoki Physical Review D, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevD.98.061701	journal	September 2018
Zilch vortical effect Chernodub, M. N.; Cortijo, Alberto; Landsteiner, Karl Physical Review D, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevD.98.065016	journal	September 2018
Axial current in rotating and accelerating medium Prokhorov, George Y.; Teryaev, Oleg V.; Zakharov, Valentin I. Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.071901	journal	October 2018
Chiral vortical effect with finite rotation, temperature, and curvature Flachi, Antonino; Fukushima, Kenji Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.096011	journal	November 2018
Higher spin vortical zilches from Kubo formulae Copetti, Christian; Fernández-Pendás, Jorge Physical Review D, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevD.98.105008	journal	November 2018
Gravitational Anomaly and Transport Phenomena Landsteiner, Karl; Megías, Eugenio; Pena-Benitez, Francisco Physical Review Letters, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevLett.107.021601	journal	July 2011
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 Plasma Instabilities Akamatsu, Yukinao; Yamamoto, Naoki Physical Review Letters, Vol. 111, Issue 5 https://doi.org/10.1103/PhysRevLett.111.052002	journal	August 2013
Wigner Translations and the Observer Dependence of the Position of Massless Spinning Particles Stone, Michael; Dwivedi, Vatsal; Zhou, Tianci Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.210402	journal	May 2015
Electromagnetic Duality Anomaly in Curved Spacetimes Agullo, Ivan; del Rio, Adrian; Navarro-Salas, Jose Physical Review Letters, Vol. 118, Issue 11 https://doi.org/10.1103/PhysRevLett.118.111301	journal	March 2017
Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas Mace, Mark; Mueller, Niklas; Schlichting, Sören Physical Review Letters, Vol. 124, Issue 19 https://doi.org/10.1103/PhysRevLett.124.191604	journal	May 2020
Study of $$\Lambda $$ Λ polarization in relativistic nuclear collisions at $$\sqrt{s_\mathrm {NN}}=7.7$$ s NN = 7.7 –200 GeV Karpenko, Iu.; Becattini, F. The European Physical Journal C, Vol. 77, Issue 4 https://doi.org/10.1140/epjc/s10052-017-4765-1	journal	April 2017
Anomaly and Long-Range Forces Kirilin, V. P.; Sadofyev, A. V.; Zakharov, V. I. Pomeranchuk 100 https://doi.org/10.1142/9789814616850_0014	conference	August 2014
Perfect-fluid Hydrodynamics with Constant Acceleration Along the Stream Lines and Spin Polarization Florkowski, W.; Speranza, E.; Becattini, F. Acta Physica Polonica B, Vol. 49, Issue 7 https://doi.org/10.5506/APhysPolB.49.1409	journal	January 2018

Similar Records

Polarization of massive fermions in a vortical fluid

Journal Article · Mon Aug 01 20:00:00 EDT 2016 · Physical Review C · OSTI ID:1429354

Chiral vortical effect for an arbitrary spin

Journal Article · Wed Mar 13 20:00:00 EDT 2019 · Journal of High Energy Physics (Online) · OSTI ID:1525845

Helicity, spin, and infra-zilch of light: A Lorentz covariant formulation

Journal Article · Sun Aug 15 00:00:00 EDT 2021 · Annals of Physics · OSTI ID:23183228

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Anomalies in field and string theories
Atomic
Nuclear and particle physics
Thermal field theory
Topological states of matter

Zilch vortical effect, Berry phase, and kinetic theory

Citation Formats

References (63)

Similar Records

Related Subjects