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Non-Hermitian Fermion Mapping for One-Component Plasma

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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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Authors and Affiliations

  1. Physics Department, Princeton University, Jadwin Hall, Princeton, New Jersey, 08544

    M. B. Hastings

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  1. M. B. Hastings
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Hastings, M.B. Non-Hermitian Fermion Mapping for One-Component Plasma. Journal of Statistical Physics 90, 311–326 (1998). https://doi.org/10.1023/A:1023268105180

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  • DOI: https://doi.org/10.1023/A:1023268105180

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