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

C. Wetterich; M. Gr"ater

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

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arxiv hep-ph/9409459 v1 pith:CJBC5XDT submitted 1994-09-30 hep-ph cond-mathep-th

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

M. Gr"ater , C. Wetterich This is my paper

classification hep-ph cond-mathep-th

keywords equationkosterlitz-thoulesslinearmodelphasesigmatransitionabsent

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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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Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.