Perturbative Derivation of Exact Superpotential for Meson Fields from Matrix Theories with One Flavour

Abstract

We derive the superpotential of gauge theories having matter fields in the fundamental representation of gauge fields by using the method of Dijkgraaf and Vafa. We treat the theories with one flavour and reproduce a well-known non-perturbative superpotential for meson field.

9 pages, latex, typos corrected

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• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Exact superpotentials in N=1 theories with flavor and their matrix model formulation
• Baryons, Boundaries and Matrix Models
• Baryonic Corrections to Superpotentials from Perturbation Theory
• Seiberg Duality in Matrix Model
• Seiberg Duality in Matrix Models II
• $\mathcal{N}=1$ Theories and a Geometric Master Field
• Derivation of the Konishi anomaly relation from Dijkgraaf-Vafa with (Bi-)fundamental matters
• Exact Mesonic Vacua From Matrix Models
• Instanton liquid properties from lattice QCD
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• N=1 Gauge Theory with Flavor from Fluxes
• Note on Matrix Model with Massless Flavors
• Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model
• Generalized Yukawa couplings and Matrix Models
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Matrix Model Description of Baryonic Deformations
• Derivation of the linearity principle of Intriligator-Leigh-Seiberg
• 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
• Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter