More on generalized simplicial chiral models

By generalizing the auxiliary field term in the Lagrangian of simplicial ch iral models on a (d - 1)-dimensional simplex, the generalized simplicial ch iral models has been introduced in Ref. 1. These models can be solved analy tically only in d = 0 and d = 2 cases at large-N limit. In the 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 w ith one calculated by path integration directly In the d = 2 case, it is sh own that all Ir = Tr(AA(dagger))(n) models have a third order phase transit ion, the same as the two-dimensional Yang-Mills theory.