Constructive Matrix Theory

Abstract

We extend the technique of constructive expansions to compute the connected functions of matrix models in a uniform way as the size of the matrix increases. This provides the main missing ingredient for a non-perturbative construction of the ${\varphi }_4^{\star 4}$ field theory on the Moyal four dimensional space.

12 pages, 3 figures

References in corpus (3)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory

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