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arXiv · hep-th/9908059

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

Sze-Shiang Feng·Zhi Yao·De-Pin Zhao·De-Si Zang
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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 $β$-variable. The total effective actions demonstrate non-extensiveness in the $β$ dimension.

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Sze-Shiang Feng, Zhi Yao, De-Pin Zhao, De-Si Zang. 1999-08-08. (2+1)-Dimensional Fermion Determinant in a Constant Background Field at Finite Temperature and Density. https://doi.org/10.1023/a%3A1011689904643

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