Abstract
We evaluate exactly both the nonrelativistic 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 nonextensiveness in the β-dimension.
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Feng, SS., Yao, Z., Zhao, DP. et al. (2+1)-Dimensional Fermion Determinant in a Constant Background Field at Finite Temperature and Density. International Journal of Theoretical Physics 40, 1581–1593 (2001). https://doi.org/10.1023/A:1011689904643
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DOI: https://doi.org/10.1023/A:1011689904643