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arXiv · hep-th/9508015

Critical Behavior of Simplicial Chiral Models

R. C. Brower·M. Campostrini·K. Orginos·P. Rossi·C-I Tan·E. Vicari
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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.

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R. C. Brower, M. Campostrini, K. Orginos, P. Rossi, C-I Tan, E. Vicari. 1995-08-04. Critical Behavior of Simplicial Chiral Models. https://doi.org/10.1103/physrevd.53.3230

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