Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
High Energy Physics - Theory
2010-07-05 v1
Abstract
We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2. For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions. In this case, the model admits also a simple description in terms of adjoint currents.
Cite
@article{arxiv.1007.0355,
title = {Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point},
author = {K. Anagnostopoulos and K. Farakos and P. Pasipoularides and A. Tsapalis},
journal= {arXiv preprint arXiv:1007.0355},
year = {2010}
}
Comments
23 pages, 2 figures