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arXiv · hep-th/9607072

The Critical Exponents Of The Matrix Valued Gross-Neveu Model

Gabriele Ferretti
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Abstract

We study the large N limit of the MATRIX valued Gross-Neveu model in 2<d<4 dimensions. The method employed is a combination of the approximate recursion formula of Polyakov and Wilson with the solution to the zero dimensional large N counting problem of Makeenko and Zarembo. The model is found to have a phase transition at a finite value for the critical temperature and the critical exponents are approximated by nu = 1/(2(d-2)) and eta=d-2. We test the validity of the approximation by applying it to the usual vector models where it is found to yield exact results to leading order in 1/N.

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Gabriele Ferretti. 1996-07-09. The Critical Exponents Of The Matrix Valued Gross-Neveu Model. https://doi.org/10.1016/s0550-3213(96)00708-0

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