Non-Hermitian Fermion Mapping for One-Component Plasma

Details Non-Hermitian Fermion Mapping for One-Component Plasma Non-Hermitian Fermion Mapping for One-Component Plasma

1997-02-28

arxiv.org/abs/cond-mat/9703006v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, Latex

Scientific paper

The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At $\beta=2$, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for extending to other $\beta$. A phase transition is found at the mean-field level at large $\beta$. Some results are extended to spaces of constant negative curvature.

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