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 equations are studied analytically and numerically in many relevant instances, including d = 4 and d --> infinity, 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.
|Autori:||Brower, Rc; Campostrini, M; Orginos, K; Rossi, Paolo; Tan C., I; Vicari, Ettore|
|Titolo:||Critical behaviour of simplicial chiral models|
|Anno del prodotto:||1996|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.53.3230|
|Appare nelle tipologie:||1.1 Articolo in rivista|