Nonperturbative Renormalization Group Equation and Beta Function in N=2 SUSY Yang-Mills

Abstract

We obtain the exact beta function for $N=2$ SUSY $SU(2)$ Yang-Mills theory and prove the nonperturbative Renormalization Group Equation $${\partial }_{\Lambda }\mathcal{F}(a,\Lambda )=\frac{\Lambda }{{\Lambda }_0}{\partial }_{{\Lambda }_0}\mathcal{F}(a_0,{\Lambda }_0)e^{-2{\int }_{{\tau }_0}^{\tau }dx{\beta }^{-1}(x)}.$$

LaTex, 10 pg. Expanded introduction, references added, to appear in Phys. Rev. Lett

References in corpus (4)

• Supersymmetric Yang-Mills Systems And Integrable Systems
• On the Relation Between the Holomorphic Prepotential and the Quantum Moduli in SUSY Gauge Theories
• Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
• Integrable Structures in Supersymmetric Gauge and String Theory

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• On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
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• ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
• N=2 SYM RG Scale as Modulus for WDVV Equations
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• Revisiting the Multi-Monopole Point of $SU(N)$ $\mathcal{N}=2$ Gauge Theory in Four Dimensions