The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
Abstract
In this work, we study the relativistic quantum kinetic equations in 2+1 dimensions from Wigner function formalism by carrying out a systematic semi-classical expansion up to order. The derived equations allow us to explore interesting transport phenomena in 2+1 dimensions. Within this framework, the parity-odd transport current induced by the external electromagnetic field is self-consistently derived. We also examine the dynamical mass generation by implementing four-fermion interaction with mean-field approximation. In this case, a new kind of transport current is found to be induced by the gradient of the mean-field condensate. Finally, we also utilize this framework to study the dynamical mass generation in an external magnetic field for the 2+1 dimensional system under equilibrium.
Cite
@article{arxiv.2007.02858,
title = {The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions},
author = {Anping Huang and Shuzhe Shi and Xianglei Zhu and Lianyi He and Jinfeng Liao and Pengfei Zhuang},
journal= {arXiv preprint arXiv:2007.02858},
year = {2021}
}