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

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 $\beta$-variable. The total effective actions demonstrate non-extensiveness in the $\beta$ dimension.

11 pages, LATEX. no figures

References in corpus (7)

• Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
• Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions
• Induced Parity Breaking Term at Finite Temperature
• Abelian and Non-Abelian Induced Parity Breaking Terms at Finite Temperature
• Gauge Invariance and Effective Actions in D=3 at Finite Temperature
• The Schwinger and Thirring models at finite chemical potential and temperature
• Induced Parity-Breaking Term at Finite Chemical Potential and Temparature