Large-distance behavior of particle correlations in the two-dimensional two-component plasma

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 beta-expansion (beta is the inverse temperature) around the Debye-Huckel limit beta --> 0, and at the free-fermion point beta = 2 at which the collapse of positive-negative pairs of charges occurs.