Large-Distance Behavior of Particle Correlations in the Two-Dimensional Two-Component Plasma

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The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges ± 1, interacting through the logarithmic Coulomb interaction. Using the exact results for the form-factors of an equivalent Euclidean sine-Gordon theory, we derive the large-distance behavior of the pair correlation functions between charged particles. This asymptotic behavior is checked on a few lower orders of its β-expansion (β is the inverse temperature) around the Debye-Hückel limit β→ 0, and at the free-fermion point β= 2 at which the collapse of positive-negative pairs of charges occurs.