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

Physics – High Energy Physics – High Energy Physics - Theory

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11 pages, LATEX. no figures

Scientific paper

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.

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