English

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

High Energy Physics - Phenomenology 2009-10-28 v1 Condensed Matter High Energy Physics - Theory

Abstract

We investigate the O(N) symmetric linear σ\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.

Keywords

Cite

@article{arxiv.hep-ph/9409459,
  title  = {Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model},
  author = {M. Gr"ater and C. Wetterich},
  journal= {arXiv preprint arXiv:hep-ph/9409459},
  year   = {2009}
}

Comments

10 pages + 4 eps-figures, LaTeX