Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism

被引：27

作者：

Gao, Jian-Hua ^{[1
]}

Liang, Zuo-Tang ^{[2
]}

Wang, Qun ^{[3
]}

机构：

[1] Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Shandong, Peoples R China

[2] Shandong Univ, Inst Frontier & Interdisciplinary Sci, Key Lab Particle Phys & Particle Irradiat MOE, Qingdao 266237, Shandong, Peoples R China

[3] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2021年 / 36卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Wigner function; chiral kinetic equation; spin kinetic equation; QUARK-GLUON PLASMA; STRONG ELECTROMAGNETIC-FIELD; CURVED SPACE-TIME; TRANSPORT-THEORY; ELECTRODYNAMIC PLASMA; RELATIVISTIC FLUID; VLASOV EQUATION; COVARIANT; POLARIZATION; TRANSFORMATION;

D O I：

10.1142/S0217751X21300015

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function formalism. The chiral and spin kinetic equations can be derived from equations for Wigner functions. A general Wigner function has 16 components which satisfy 32 coupled equations. For massless fermions, the number of independent equations can be significantly reduced due to the decoupling of left-handed and right-handed particles. It can be proved that out of many components of Wigner functions and their coupled equations, only one kinetic equation for the distribution function is independent. This is called the disentanglement theorem for Wigner functions of chiral fermions. For massive fermions, it turns out that one particle distribution function and three spin distribution functions are independent and satisfy four kinetic equations. Various chiral and spin effects such as chiral magnetic and vortical effects, the chiral separation effect, spin polarization effects can be consistently described in the formalism.

引用

页数：34

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