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

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.

preprint2000arXivOpen access
A. BlasiV. E. R. LemesN. MaggioreS. P. SorellaA. TanziniO. S. VenturaL. C. Q. Vilar
hep-th
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Open access7 authors1 topic
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A. BlasiV. E. R. LemesN. MaggioreS. P. SorellaA. TanziniO. S. VenturaL. C. Q. Vilar

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