Eric D'Hoker, I. M. Krichever, D. H. Phong
Published 1996-10-20Version 1
We clarify the mass dependence of the effective prepotential in N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number N_f<2N_c of flavors. The resulting differential equation for the prepotential extends the equations obtained previously for SU(2) and for zero masses. It can be viewed as an exact renormalization group equation for the prepotential, with the beta function given by a modular form. We derive an explicit formula for this modular form when N_f=0, and verify the equation to 2-instanton order in the weak-coupling regime for arbitrary N_f and N_c.
Comments: 16 pages, Plain Tex, no macros needed
Journal: Nucl.Phys. B494 (1997) 89-104
From modular forms to differential equations for Feynman integrals
Exact renormalization group equations and the field theoretical approach to critical phenomena
Revisiting the local potential approximation of the exact renormalization group equation
