Zilch vortical effect, Berry phase, and kinetic theory
Abstract
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.
- Authors:
-
[3];
- 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)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; NSFC
- OSTI Identifier:
- 1787290
- Report Number(s):
- LA-UR-20-25498
Journal ID: ISSN 1029-8479; TRN: US2210436
- Grant/Contract Number:
- 89233218CNA000001; 11535012; 11675041
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic; Nuclear and particle physics; Anomalies in field and string theories; Thermal field theory; Topological states of matter
Citation Formats
Huang, Xu-Guang, Mitkin, Pavel, Sadofyev, Andrey V., and Speranza, Enrico. Zilch vortical effect, Berry phase, and kinetic theory. United States: N. p., 2020.
Web. doi:10.1007/jhep10(2020)117.
Huang, Xu-Guang, Mitkin, Pavel, Sadofyev, Andrey V., & Speranza, Enrico. Zilch vortical effect, Berry phase, and kinetic theory. United States. https://doi.org/10.1007/jhep10(2020)117
Huang, Xu-Guang, Mitkin, Pavel, Sadofyev, Andrey V., and Speranza, Enrico. Mon .
"Zilch vortical effect, Berry phase, and kinetic theory". United States. https://doi.org/10.1007/jhep10(2020)117. https://www.osti.gov/servlets/purl/1787290.
@article{osti_1787290,
title = {Zilch vortical effect, Berry phase, and kinetic theory},
author = {Huang, Xu-Guang and Mitkin, Pavel and Sadofyev, Andrey V. and Speranza, Enrico},
abstractNote = {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.},
doi = {10.1007/jhep10(2020)117},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2020,
place = {United States},
year = {Mon Oct 19 00:00:00 EDT 2020},
month = {Mon Oct 19 00:00:00 EDT 2020}
}
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