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

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

2000-04-07

arxiv.org/abs/hep-th/0004048v3

JHEP 0005:039,2000

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex2e, name of institutions corrected

Scientific paper

10.1088/1126-6708/2000/05/039

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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