Equation of State in the Fugacity Format for the Two-Dimensional Coulomb Gas
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We derive the general form of the equation of state, in the fugacity format, for the two-dimensional Coulomb gas. Our results are valid in the conducting phase of the Coulomb gas, for temperatures above the Kosterlitz–Thouless transition. The derivation of the equation of state is based on the knowledge of the general form of the short-distance expansion of the correlation functions of the Coulomb gas. We explicitly compute the expansion up to order \(O(\zeta^6)\) in the activity ζ. Our results are in very good agreement with Monte Carlo simulations at very low density.
KeywordsCoulomb gas equation of state sine-Gordon model exact results
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