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.
Critical behaviour of simplicial chiral models
ROSSI, PAOLO;VICARI, ETTORE
1996-01-01
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 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.File in questo prodotto:
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