Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon
Statistical Mechanics
2009-02-09 v2
Abstract
The critical behaviour of the O(n)-symmetric model with two n-vector fields is studied within the field-theoretical renormalization group approach in a D=4-2 epsilon expansion. Depending on the coupling constants the beta-functions, fixed points and critical exponents are calculated up to the one- and two-loop order, resp. (eta in two- and three-loop order). Continuous lines of fixed points and O(n)*O(2) invariant discrete solutions were found. Apart from already known fixed points two new ones were found. One agrees in one-loop order with a known fixed point, but differs from it in two-loop order.
Keywords
Cite
@article{arxiv.0809.1568,
title = {Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon},
author = {Yuri M. Pis'mak and Alexej Weber and Franz J. Wegner},
journal= {arXiv preprint arXiv:0809.1568},
year = {2009}
}
Comments
23 pages