Critical Behavior of Simplicial Chiral Models
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→∞, with special attention to the critical domain, which is found to correspond to βc=1/d for all d. Related models (chiral chains) are discussed and large-N solutions are analyzed.
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