Nonperturbative Renormalization Flow and Essential Scaling for the Kosterlitz-Thouless Transition

Details Nonperturbative Renormalization Flow and Essential Scaling for the Kosterlitz-Thouless Transition Nonperturbative Renormalization Flow and Essential Scaling for the Kosterlitz-Thouless Transition

2000-08-14

arxiv.org/abs/hep-th/0008114v1

Phys.Rev. B64 (2001) 054513

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 4 figures, RevTex

Scientific paper

10.1103/PhysRevB.64.054513

The Kosterlitz-Thouless phase transition is described by the nonperturbative renormalization flow of the two dimensional $\phi^4$-model. The observation of essential scaling demonstrates that the flow equation incorporates nonperturbative effects which have previously found an alternative description in terms of vortices. The duality between the linear and nonlinear $\sigma$-model gives a unified description of the long distance behaviour for O(N)-models in arbitrary dimension $d$. We compute critical exponents in first order in the derivative expansion.

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