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 (g) function follows from the vanishing of the anomalous dimension of Tr phi (2).
Perturbative beta function of N=2 super Yang-Mills theories / Blasi, A.; Lemes, V. E. R.; Maggiore, N.; Sorella, S. P.; Tanzini, A.; Ventura, O. S.; Vilar, L. C. Q.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2000:5(2000), pp. 1-19. [10.1088/1126-6708/2000/05/039]
Perturbative beta function of N=2 super Yang-Mills theories
Tanzini, A.;
2000-01-01
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 (g) function follows from the vanishing of the anomalous dimension of Tr phi (2).File | Dimensione | Formato | |
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