Mass generation in the large N nonlinear sigma model
Mar, 199944 pages
Published in:
- Commun.Math.Phys. 202 (1999) 89-126
e-Print:
- math-ph/9902020 [math-ph]
Report number:
- CPHT-219-0399
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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.Note:
- 44 pages Report-no: CPHT 219 0399 Subj-class: Mathematical Physics
- sigma model: nonlinear
- expansion 1/N
- mass generation
- symmetry: O(N)
- dimension: 2
- infrared problem
- expansion: cluster
- regularization
- Mayer expansion
- correlation function: decay
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