Taking N to zero with S matrices

Details Taking N to zero with S matrices Taking N to zero with S matrices

2001-11-30

arxiv.org/abs/cond-mat/0111582v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 1 figure. Contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories, Como

Scientific paper

Interesting physical results can be obtained from sigma models by taking the
number of fields N to zero. I discuss how one can make sense of this limit by
using exact S matrix techniques. I review how this can be done for the case of
self-avoiding polymers, and speculate on the application to the replica limit
of disordered systems.

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