More on Generalized Simplicial Chiral Models

Abstract

By generalizing the auxiliary field term in the Lagrangian of simplicial chiral models on a (d − 1)-dimensional simplex, the generalized simplicial chiral models has been introduced in [1]. These models can be solved analytically only in d = 0 and d = 2 cases at large-N limit. In d = 0 case, we calculate the eigenvalue density function in strong regime and show that the partition function computed from this density function is consistent with one calculated by path integration directly. In d = 2 case, it is shown that all V = Tr(AA † ) n models have a third order phase transition, same as the 2-dimensional Yang-Mills theory. 1