Critical Behavior of Simplicial Chiral Models

Details Critical Behavior of Simplicial Chiral Models Critical Behavior of Simplicial Chiral Models

1995-08-04

arxiv.org/abs/hep-th/9508015v1

Phys.Rev. D53 (1996) 3230-3246

Physics

High Energy Physics

High Energy Physics - Theory

47 pages + 4 figures in an uuencoded file

Scientific paper

10.1103/PhysRevD.53.3230

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.

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