# Critical Behavior of Simplicial Chiral Models

Brower, R. C. and Campostrini, M. and Orginos, K. and Rossi, P. and Tan, C-I and Vicari, E. (1996) Critical Behavior of Simplicial Chiral Models. Physical review. D, Particles, fields, gravitation, and cosmology, 53 . p. 3230. ISSN 1550-7998

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## Abstract

The large-N saddle-point equations for the principal chiral models defined on a d-1 dimensional simplex are derived from the external field problem for unitary integrals. The saddle point equation are studied analytically and numerically in many relevant instances, including d=4 and $d\rightarrow\infty$, with special attention to the critical domain, which is found to correspond to $\beta_c=1/d$ for all d. Related models (chiral chains) are discussed and large-N solutions are analyzed.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA dott.ssa Sandra Faita 11 Feb 2014 14:55 11 Feb 2014 14:55 http://eprints.adm.unipi.it/id/eprint/1902

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