More on generalized simplicial chiral models

Details More on generalized simplicial chiral models More on generalized simplicial chiral models

2000-07-22

arxiv.org/abs/hep-th/0007178v1

Int.J.Mod.Phys. A16 (2001) 1161

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure

Scientific paper

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 \c{Ali}. 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 $V= {\rm Tr}(AA^{\d})^n$ models have a third order phase transition, same as the 2-dimensional Yang-Mills theory.

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