Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories

Details Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories

2008-09-15

arxiv.org/abs/0809.2509v2

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

We calculate the renormalization constants of the N=1, N=2, N=4 supersymmetric Yang-Mills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the beta-functions for N=1 and N=4 SYM theories are the same from the different triple vertices. This means that the dimensional reduction scheme works correctly in these models up to third order of perturbative theory.

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