NONPERTURBATIVE DOUBLE SCALING LIMITS
- FERRARI, FRANK Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA
- 2012-1-25
Published in:
- International Journal of Modern Physics A. - World Scientific Pub Co Pte Lt. - 2003, vol. 18, no. 04, p. 577-591
English
Recently, the author has proposed a generalization of the matrix and vector models approach to the theory of random surfaces and polymers. The idea is to replace the simple matrix or vector (path)-integrals by gauge theory or nonlinear σ model (path)-integrals. We explain how this solves one of the most fundamental limitations of the classic approach: we automatically obtain nonperturbative definitions in non-Borel summable cases. This is exemplified in the simplest possible examples involving O (N) symmetric nonlinear σ models with N-dimensional target spaces, for which we construct (multi)critical metrics. The nonperturbative definitions of the double scaled, manifestly positive, partition functions rely on remarkable identities involving (path)-integrals.
- Language
-
- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0217751x03012424
- ISSN 0217-751X
- Persistent URL
- https://sonar.ch/global/documents/70221
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