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The model under consideration is a classical 2D Coulomb gas of pointlikepositive and negative unit charges, interacting via a logarithmic potential. Inthe whole stability range of temperatures, the equilibrium statisticalmechanics of this fluid is exactly solvable via an equivalence with theintegrable 2D sine-Gordon field theory. The exact solution includes the bulkthermodynamics, special cases of the surface thermodynamics, and thelarge-distance asymptotic behavior of the two-body correlation functions.Comment: Talk presented at the SCCS02 meeting in Santa Fe, to appear in  J.Phys. A: Math. Ge

The statistical mechanics of the classical two-dimensional Coulomb gas is exactly solved