Unitary Matrix Models and Phase Transition

Details Unitary Matrix Models and Phase Transition Unitary Matrix Models and Phase Transition

1997-05-16

arxiv.org/abs/hep-th/9705121v2

Phys.Lett. B416 (1998) 179-183

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(97)01316-6

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.

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