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).
2000
2000
5
1
19
039
https://doi.org/10.1088/1126-6708/2000/05/039
https://arxiv.org/abs/hep-th/0004048
Blasi, A.; Lemes, V. E. R.; Maggiore, N.; Sorella, S. P.; Tanzini, A.; Ventura, O. S.; Vilar, L. C. Q.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17146
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