Hermitian Matrix Model with Plaquette Interaction

Details Hermitian Matrix Model with Plaquette Interaction Hermitian Matrix Model with Plaquette Interaction

1996-05-02

arxiv.org/abs/hep-th/9605013v2

Nucl.Phys. B479 (1996) 683-696

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, two references added

Scientific paper

10.1016/0550-3213(96)00382-3

We study a hermitian $(n+1)$-matrix model with plaquette interaction, $\sum_{i=1}^n MA_iMA_i$. By means of a conformal transformation we rewrite the model as an $O(n)$ model on a random lattice with a non polynomial potential. This allows us to solve the model exactly. We investigate the critical properties of the plaquette model and find that for $n\in]-2,2]$ the model belongs to the same universality class as the $O(n)$ model on a random lattice.

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