Parity violating quantum kinetic theory in (2+1)-dimensions
Abstract
We study the kinetic theory for a (2+1)-dimensional fermionic system with special emphasis on the parity violating properties associated with the fermion mass. The Wigner function approach is used to derive hydrodynamical transport coefficients to the first spatial derivative order. As a first attempt, the collisions between fermions are neglected. The resulting system is dissipationless. The parity violating Hall electric conductivity has the same temperature and chemical potential dependence as the quantum field theory result at one-loop. Vorticity dependent transport properties, which were not considered before, also emerge naturally in this approach.
Cite
@article{arxiv.1305.1835,
title = {Parity violating quantum kinetic theory in (2+1)-dimensions},
author = {Jiunn-Wei Chen and Jian-Hua Gao and Juan Liu and Shi Pu and Qun Wang},
journal= {arXiv preprint arXiv:1305.1835},
year = {2015}
}
Comments
ReVTex 4, 12 pages, no figure. Appendix B and some references are added, the discussion in section III about the Wigner function is improved