Flows and Solitary Waves in Unitary Matrix Models with Logarithmic Potentials

Details Flows and Solitary Waves in Unitary Matrix Models with Logarithmic Potentials Flows and Solitary Waves in Unitary Matrix Models with Logarithmic Potentials

1991-11-05

arxiv.org/abs/hep-th/9111012v1

Nucl.Phys. B378 (1992) 501-524

Physics

High Energy Physics

High Energy Physics - Theory

26 pages + 4 figures

Scientific paper

10.1016/0550-3213(92)90607-D

We investigate unitary one-matrix models coupled to bosonic quarks. We derive a flow equation for the square-root of the specific heat as a function of the renormalized quark mass. We show numerically that the flows have a finite number of solitary waves, and we postulate that their number equals the number of quark flavors. We also study the nonperturbative behavior of this theory and show that as the number of flavors diverges, the flow does not reach two-dimensional gravity.

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