Axial kinetic theory and spin transport for fermions with arbitrary mass

被引：124

作者：

Hattori, Koichi ^{[1
]}

Hidaka, Yoshimasa ^{[2
,3
]}

Yang, Di-Lun ^{[1
,4
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[2] RIKEN, RIKEN Nishina Ctr, Wako, Saitama 3510198, Japan

[3] RIKEN, RIKEN Interdisciplinary Theoret & Math Sci Progra, Wako, Saitama 3510198, Japan

[4] Keio Univ, Fac Sci & Technol, Yokohama, Kanagawa 2238522, Japan

来源：

PHYSICAL REVIEW D | 2019年 / 100卷 / 09期

基金：

日本学术振兴会;

关键词：

POLARIZATION; COLLISIONS; PARTICLES;

D O I：

10.1103/PhysRevD.100.096011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive a quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field using a Wigner-function approach. Since spin of massive fennions is a dynamical degree of freedom (d.o.f.), kinetic equations with leading-order quantum corrections describe entangled dynamics of not only vector- and axial-charge distributions but also of the spin polarization. Therefore, we obtain one scalar and one axial-vector kinetic equations with magnetization currents pertinent to the spin-orbit interaction. We show that our results smoothly reduce to the massless limit where the spin of massless fermions is no longer an independent dynamical d.o.f. but is enslaved by the chirality and momentum, and the accordingly kinetic equations turn into chiral kinetic theory for Weyl fermions. We provide a kinetic theory covering both massive and massless cases and hence resolving the problem of constructing a bridge between them. Such a generalization may be crucial for applications to various physical systems. Based on our kinetic equations, we discuss the anomalous currents transported by massive fermions in thermal equilibrium.

引用

页数：17

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