%0 Journal Article
%T Critical Behavior of Simplicial Chiral Models
%A R. C. Brower
%A M. Campostrini
%A K. Orginos
%A P. Rossi
%A C-I Tan
%A E. Vicari
%J Physics
%D 1995
%I arXiv
%R 10.1103/PhysRevD.53.3230
%X 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.
%U http://arxiv.org/abs/hep-th/9508015v1