Stochastic approach to the large-Nlimit

Jorge Alfaro · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1986

We discuss a simple method to obtain the large-N limit of quantum systems. In this method the Langevin equation of stochastic quantization is solved at leading order of large N by using the stochastic form of Witten's factorization property. With the aid of this solution, the Green's functions can be built. In addition to this, we can discuss the stability of the leading large-N vacua under small perturbations.

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