标题： 带有平面块相互作用的厄米矩阵模型 显示英文标题

标题： Hermitian Matrix Model with Plaquette Interaction

摘要： 我们研究一个带有平面相互作用的厄米特$(n+1)$矩阵模型，$\sum_{i=1}^n MA_iMA_i$。通过共形变换，我们将该模型重写为在随机格点上的$O(n)$模型，具有非多项式势能。这使我们能够精确求解该模型。我们研究了平面模型的临界性质，并发现当$n\in]-2,2]$时，该模型属于与在随机格点上的$O(n)$模型相同的普适性类。 显示英文摘要

摘要： 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.