Variational principle for large N matrix models

Physics – High Energy Physics

Scientific paper

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Field Theory

Scientific paper

We derive a variational principle for large N matrix models. The partition function and vacuum green functions are determined by the principle of minimization of a free energy. The Schwinger-Dyson equations are the conditions for the free energy to be an extremum. We obtain a parametric representation for the greens functions and ground state energy. The parameter is a change of variable that transforms a reference theory to the one of interest. .

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