Nonperturbative Renormalization Group Equation and Beta Function in $N = 2$ Supersymmetric Yang-Mills Theory

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27 May 1996

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 76 (22) , 4107-4110
https://doi.org/10.1103/physrevlett.76.4107

Abstract

We obtain the exact beta function for

N = 2

supersymmetric

SU (2)

Yang-Mills theory and prove the nonperturbative renormalization group equation

\partial_{Λ} F (a, Λ) = (Λ / Λ_{0}) \partial_{Λ_{0}} F (a_{0}, Λ_{0}) \times \exp [- 2 \int {τ_{0}}^{τ} dx β^{- 1} (x)]

.

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