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Mass Generation in the Large N nonlinear sigma-Model | | Ch. Kopper
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16 Feb 1999 | | Journal: | Commun.Math.Phys. 202 (1999) 89-126 | | Subject: | Mathematical Physics | math-ph math.MP | | Affiliation: | CPHT, Ecole Polytechnique | | 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. | | Source: | arXiv, math-ph/9902020 | | Services: | Forum | Review | PDF | Favorites | |
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