Comparison of renormalization group schemes for sine-Gordon type models
Abstract
The scheme-dependence of the renormalization group (RG) flow has been investigated in the local potential approximation for two-dimensional periodic, sine-Gordon type field-theoric models discussing the applicability of various functional RG methods in detail. It was shown that scheme-independent determination of such physical parameters is possible as the critical frequency (temperature) at which Kosterlitz-Thouless-Berezinskii type phase transition takes place in the sine-Gordon and the layered sine-Gordon models, and the critical ratio characterizing the Ising type phase transition of the massive sine-Gordon model. For the latter case the Maxwell construction represents a strong constraint on the RG flow which results in a scheme-independent infrared value for the critical ratio. For the massive sine-Gordon model also the shrinking of the domain of the phase with spontaneously broken periodicity is shown to take place due to the quantum fluctuations.
Cite
@article{arxiv.0903.5524,
title = {Comparison of renormalization group schemes for sine-Gordon type models},
author = {I. Nandori and S. Nagy and K. Sailer and A. Trombettoni},
journal= {arXiv preprint arXiv:0903.5524},
year = {2009}
}
Comments
17 pages, 8 figures, revised version, to be published in Phys. Rev. D