Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model

Details Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model

1994-09-30

arxiv.org/abs/hep-ph/9409459v1

Phys.Rev.Lett. 75 (1995) 378-381

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages + 4 eps-figures, LaTeX

Scientific paper

10.1103/PhysRevLett.75.378

We investigate the O(N) symmetric linear $\sigma$-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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