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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.
15 pages, no figures, two references added
High Energy Physics - Theory, nonpolynomial potential, High Energy Physics - Theory (hep-th), hep-th, critical properties, conformal transformation, FOS: Physical sciences, saddle point equation, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
High Energy Physics - Theory, nonpolynomial potential, High Energy Physics - Theory (hep-th), hep-th, critical properties, conformal transformation, FOS: Physical sciences, saddle point equation, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 23 | |
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influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
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