Zilch vortical effect, Berry phase, and kinetic theory

Zilch vortical effect, Berry phase, and kinetic theory
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Zilch 涡旋效应、贝里相和动力学理论

DOI:
10.1007/jhep10(2020)117
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发表时间:
2020-06
影响因子:
5.4
通讯作者:
Enrico Speranza
Enrico Speranza
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Xu-guang Huang;Pavel Mitkin;Andrey V. Sadofyev;Enrico Speranza

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旋转的光子气体沿角速度呈现手性分离,这表现在螺旋度和零点流的产生上。在本文中,我们利用相应的Wigner函数来研究这个系统,并从第一原理出发构造光子协变手征动力学理论的元素。在ħ中对维格纳函数进行逐次求解,并结合量子场论结果确定无约束项。我们进一步研究了零旋流和螺旋流,并表明这两种手性输运现象都起源于光子的Berry相,类似于其他手征效应。从Wigner函数构造动力学描述,我们发现确定无质量粒子自旋定义所需的标架矢量实际上是自由麦克斯韦理论的剩余规范自由度的矢量。我们还简要地评论了无质量粒子旋转系统中的涡旋响应与基本量子场论的反常之间的可能联系。
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 ħ 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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