Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions
High Energy Physics - Phenomenology
2009-11-10 v2
Abstract
The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons.
Keywords
Cite
@article{arxiv.hep-ph/0309091,
title = {Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions},
author = {Jens O. Andersen and Daniel Boer and Harmen J. Warringa},
journal= {arXiv preprint arXiv:hep-ph/0309091},
year = {2009}
}
Comments
8 pages, revtex, 3 eps figures; reference added, improved figure 1, minor other changes, conclusions unchanged