Critical thermodynamics of two-dimensional N-vector cubic model in the five-loop approximation
Abstract
The critical behavior of the two-dimensional N-vector cubic model is studied within the field-theoretical renormalization-group (RG) approach. The beta-functions and critical exponents are calculated in the five-loop approximation, RG series obtained are resummed using Pade-Borel-Leroy and conformal mapping techniques. It is found that for N = 2 the continuous line of fixed points is well reproduced by the resummed RG series and an account for the five-loop terms makes the lines of zeros of both beta-functions closer to each another. For N > 2 the five-loop contributions are shown to shift the cubic fixed point, given by the four-loop approximation, towards the Ising fixed point. This confirms the idea that the existence of the cubic fixed point in two dimensions under N > 2 is an artifact of the perturbative analysis. In the case N = 0 the results obtained are compatible with the conclusion that the impure critical behavior is controlled by the Ising fixed point.
Cite
@article{arxiv.cond-mat/0509415,
title = {Critical thermodynamics of two-dimensional N-vector cubic model in the five-loop approximation},
author = {P. Calabrese and E. V. Orlov and D. V. Pakhnin and A. I. Sokolov},
journal= {arXiv preprint arXiv:cond-mat/0509415},
year = {2016}
}
Comments
18 pages, 4 figures