Complete and consistent chiral transport from Wigner function formalism
Complete and consistent chiral transport from Wigner function formalism
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DOI：
10.1103/physrevd.98.036010
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发表时间：
2018-01
影响因子：
5
通讯作者：
An-dong Huang;S. Shi;Yin Jiang;J. Liao;P. Zhuang
中科院分区：
文献类型：
--
作者：
An-dong Huang;S. Shi;Yin Jiang;J. Liao;P. Zhuang
最近，人们对了解手性费米子多体系统中的宏观量子输运产生了浓厚的兴趣。描述这种通常不平衡的系统的自然框架是其相空间分布函数的输运方程。在本文中，我们从一般维格纳函数形式出发，进行完整一致的半经典展开至O^(ℏ)阶，获得了无质量费米子协变手性输运的完整解。特别是，我们澄清了围绕与三维手性动力学理论相关的洛伦兹非不变性和框架依赖性的某些微妙和令人困惑的问题。我们通过对每个参考系中分布函数的 O^(ℏ) 校正的明确定义来证明这种帧依赖性是唯一且完全固定的。
Recently, there has been significant interest in understanding the macroscopic quantum transport in a many-body system of chiral fermions. A natural framework for describing such a system that is generally out of equilibrium is the transport equation for its phase space distribution function. In this paper, we obtain a complete solution of the covariant chiral transport for massless fermions, by starting from the general Wigner function formalism and carrying out a complete and consistent semiclassical expansion up to O^(ℏ) order. In particular, we clarify certain subtle and confusing issues surrounding the Lorentz noninvariance and frame dependence associated with the three-dimensional chiral kinetic theory. We prove that such frame dependence is uniquely and completely fixed by an unambiguous definition of the O^(ℏ) correction to the distribution function in each reference frame.