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

Abstract

We study the full unitary matrix models. Introducing a new term $llogU$, 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.

14 pages, LaTeX, 1 eps figure

References in corpus (2)

• Bethe Ansatz and Classical Hirota Equation
• Matrix Models of Two-dimensional Gravity and Discrete Toda Theory

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