Non-Hermitian Fermion Mapping for One-Component Plasma
M. B. Hastings
Abstract
The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At β=2, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for extending to other β. A phase transition is found at the mean-field level at large β. Some results are extended to spaces of constant negative curvature.
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