2018/01/31 by Anping Huang, Shuzhe Shi, Yin Jiang +2 · 5 citations
Physics and Astronomy · #Art #Classical mechanics #Formalism (music) #High-Energy Particle Collisions Research #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Theoretical physics #Wigner distribution function #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.98.036010
published as Phys. Rev. D 98, 036010 (2018)
arxiv created 2018/07/02 · openalex publication_date 2018/08/15 · arxiv updated 2018/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 \stackrel^O(\ensuremathℏ) 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 \stackrel^O(\ensuremathℏ) correction to the distribution function in each reference frame.