Mass Generation in the Large N nonlinear sigma-Model
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
We study the infrared behaviour of the two-dimensional Euclidean O(N) nonlinear sigma-Model with a suitable ultraviolet cutoff. It is proven that for a sufficiently large (but finite!) number N of field components the model is massive and thus has exponentially decaying correlation functions. We use a representation of the model with an interpolating bosonic field. This permits to analyse the infrared behaviour without any intermediate breaking of O(N)-symmetry. The proof is simpler than that of the corresponding result for the Gross-Neveu-Model.
Keywords
Cite
@article{arxiv.math-ph/9902020,
title = {Mass Generation in the Large N nonlinear sigma-Model},
author = {Ch. Kopper},
journal= {arXiv preprint arXiv:math-ph/9902020},
year = {2009}
}
Comments
44 pages