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Perturbative Beta Function of N=2 Super Yang-Mills Theories

A. Blasi·V. E. R. Lemes·N. Maggiore·S. P. Sorella·A. Tanzini·O. S. Ventura·L. C. Q. Vilar
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Abstract

An algebraic proof of the nonrenormalization theorem for the perturbative beta function of the coupling constant of N=2 Super Yang-Mills theory is provided. The proof relies on a fundamental relationship between the N=2 Yang-Mills action and the local gauge invariant polynomial Tr phi^2, phi(x) being the scalar field of the N=2 vector gauge multiplet. The nonrenormalization theorem for the beta function follows from the vanishing of the anomalous dimension of Tr phi^2.

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A. Blasi, V. E. R. Lemes, N. Maggiore, S. P. Sorella, A. Tanzini, O. S. Ventura, L. C. Q. Vilar. 2000-04-14. Perturbative Beta Function of N=2 Super Yang-Mills Theories. https://doi.org/10.1088/1126-6708%2F2000%2F05%2F039

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