Zilch vortical effect, Berry phase, and kinetic theory

被引:43
作者
Huang, Xu-Guang [1 ,2 ,3 ]
Mitkin, Pavel [4 ,5 ]
Sadofyev, Andrey V. [4 ,6 ]
Speranza, Enrico [7 ]
机构
[1] Fudan Univ, Phys Dept, Shanghai 200433, Peoples R China
[2] Fudan Univ, Ctr Particle Phys & Field Theory, Shanghai 200433, Peoples R China
[3] Fudan Univ, Key Lab Nucl Phys & Ion Beam Applicat MOE, Shanghai 200433, Peoples R China
[4] Inst Theoret & Expt Phys ITEP, B Cheremushkinskaya 25, Moscow 117218, Russia
[5] Moscow Inst Phys & Technol, Moscow 141700, Russia
[6] Los Alamos Natl Lab, Theoret Div, MS B283, Los Alamos, NM 87545 USA
[7] Goethe Univ, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
关键词
Anomalies in Field and String Theories; Thermal Field Theory; Topological States of Matter; SPIN; POLARIZATION; FLUID;
D O I
10.1007/JHEP10(2020)117
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 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.
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页数:18
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