Critical Behavior of Simplicial Chiral Models
arXiv:hep-th/9508015 · doi:10.1103/PhysRevD.53.3230
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 $β_c=1/d$ for all d. Related models (chiral chains) are discussed and large-N solutions are analyzed.
47 pages + 4 figures in an uuencoded file