English

(2+1)-Dimensional Fermion Determinant in a Constant Background Field at Finite Temperature and Density

High Energy Physics - Theory 2014-11-18 v1

Abstract

We evaluate exactly both the non-relativistic and relativistic fermion determinant in 2+1 dimensions in a constant background field at finite temperature. The effect of finite chemical potential is also considered. In both cases, the systems are decoupled into an infinite number of 1+1 fermions by Fourier transformation in the β\beta-variable. The total effective actions demonstrate non-extensiveness in the β\beta dimension.

Keywords

Cite

@article{arxiv.hep-th/9908059,
  title  = {(2+1)-Dimensional Fermion Determinant in a Constant Background Field at Finite Temperature and Density},
  author = {Sze-Shiang Feng and Zhi Yao and De-Pin Zhao and De-Si Zang},
  journal= {arXiv preprint arXiv:hep-th/9908059},
  year   = {2014}
}

Comments

11 pages, LATEX. no figures