Unitary Matrix Models with a topological term and discrete time Toda equation

Details Unitary Matrix Models with a topological term and discrete time Toda equation Unitary Matrix Models with a topological term and discrete time Toda equation

1996-11-22

arxiv.org/abs/hep-th/9611177v1

Phys.Lett. B395 (1997) 208-217

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, 1 eps figure

Scientific paper

10.1016/S0370-2693(97)00067-1

We study the full unitary matrix models. Introducing a new term $l log U$, l
plays the role of the discrete time. On the other hand, the full unitary matrix
model contains a topological term. In the continuous limit it gives rise to a
phase transition at $\theta=\pi$. The ground state is characterize by the
discrete time l. The discrete time l plays like the instanton number.

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