1210.4037 (A. Codello et al.)

O(N)-Universality Classes and the Mermin-Wagner Theorem    [PDF]

A. Codello, G. D'Odorico

We study how universality classes of O(N)-symmetric models depend continuously on the dimension d and the number of field components N. We observe, from a renormalization group perspective, how the implications of the Mermin-Wagner-Hohenberg theorem set in as we gradually deform theory space towards d=2. For fractal dimension in the range 2View original: http://arxiv.org/abs/1210.4037