Star--Matrix Models

Details Star--Matrix Models Star--Matrix Models

1995-11-12

arxiv.org/abs/hep-th/9511076v1

Mod.Phys.Lett. A10 (1995) 2709-2725

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex (to appear in Mod.Phys.Lett.)

Scientific paper

The star-matrix models are difficult to solve due to the multiple powers of the Vandermonde determinants in the partition function. We apply to these models a modified Q-matrix approach and we get results consistent with those obtained by other methods.As examples we study the inhomogenous gaussian model on Bethe tree and matrix $q$-Potts-like model. For the last model in the special cases $q=2$ and $q=3$, we write down explicit formulas which determinate the critical behaviour of the system.For $q=2$ we argue that the critical behaviour is indeed that of the Ising model on the $\phi^3$ lattice.

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