Kosterlitz-Thouless Phase Transition in the Two Dimensional LinearσModel

1994/09/30 by M. Gr"ater, M. Gräter, C. Wetterich · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Mathematical physics #Phase (matter) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical and Computational Physics #cond-mat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.75.378

published as Phys.Rev.Lett. 75 (1995) 378-381 · 10 pages + 4 eps-figures, LaTeX

arxiv created 1994/09/30 · openalex publication_date 1995/07/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the O(N) symmetric linear \ensuremathσ 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\phantom\rule0ex0ex=\phantom\rule0ex0ex2 this gives a good picture of the Kosterlitz-Thouless phase transition.

Citations

• The renormalization group and the ε expansion
• Exact evolution equation for the effective potential
• Critical exponents from the effective average action

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