Correlation functions of the 2D sine-Gordon model

摘要: A number of two-dimensional (2D) critical phenomena can be described in terms the 2D sine-Gordon model. With bosonization, several 1D quantum systems transformed to same However, transition model, Berezinskii-Kosterlitz-Thouless (BKT) transition, is essentially different from a second-order transition. The divergence correlation length more rapid than any power law, and there are logarithmic corrections. These pathological features make it difficult determine BKT point indices finite-size calculations. In this paper we calculate functions model using real-space renormalization technique. It found that functions, or eigenvalues corresponding transfer matrix for finite system, become degenerate on line, including By use degeneracy, which reflects hidden SU(2) symmetry possible line with high precision small amount data identify universality class. addition, new universal relations found. results shed light relation between Abelian non-Abelian bosonization.