Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model
M. Gr"ater, C. Wetterich
Abstract
We investigate the O(N) symmetric linear σ-model in two dimensions by means of an exact nonperturbative evolution equation. The perturbative infrared divergences are absent in this formulation. We use a simple approximative solution of the flow equation which corresponds to a derivative expansion for the effective action. For N=2 this gives a good picture of the Kosterlitz-Thouless phase transition.
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