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arXiv · hep-th/9511076

Star--Matrix Models

E. Vinteler
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Abstract

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 $ϕ^3$ lattice.

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E. Vinteler. 1995-11-12. Star--Matrix Models. https://doi.org/10.1142/s0217732395002842

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