Unitary Matrix Models and Phase Transition

Abstract

We study the unitary matrix model with a topological term. We call the topological term the theta term. In the symmetric model there is the phase transition between the strong and weak coupling regime at ${\lambda }_c=2$. If the Wilson term is bigger than the theta term, there is the strong-weak coupling phase transition at the same ${\lambda }_c$. On the other hand, if the theta term is bigger than the Wilson term, there is only the strong coupling regime. So the topological phase transition disappears in this case.

9 pages, LaTeX, Comments about the topological phase transition are added

References in corpus (3)

• Unitary Matrix Models and Painlevé III
• Unitary Matrix Models with a topological term and discrete time Toda equation
• Topology on the lattice; 2d Yang-Mills theories with a theta term

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• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
• Universal Cusp Scaling in Random Partitions