Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model

Abstract

We discuss how to obtain the superpotential of the baryons and mesons for SU(N) gauge theories with N flavour matter fields from matrix integral. We apply the mean-field approximation for the matrix integral. Assuming the planar limit of the self-consistency equation, we show that the result almost agrees with the field theoretical result.

arXiv commentrev2. ref. and related comments included, typos corrected

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Cited by in corpus (8)

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• Effective Gauge Degrees of Freedom and the (Non)existence of the Glueball Superpotential
• The Disc Amplitude of the Dijkgraaf-Vafa Theory:1/N Expansion vs Complex Curve Analysis