The beta function of N=1 SYM in Differential Renormalization

Details The beta function of N=1 SYM in Differential Renormalization The beta function of N=1 SYM in Differential Renormalization

2002-02-13

arxiv.org/abs/hep-th/0202082v2

JHEP 0203 (2002) 049

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures. Reference added, minor corrections

Scientific paper

10.1088/1126-6708/2002/03/049

Using differential renormalization, we calculate the complete two-point function of the background gauge superfield in pure N=1 Supersymmetric Yang-Mills theory to two loops. Ultraviolet and (off-shell) infrared divergences are renormalized in position and momentum space respectively. This allows us to reobtain the beta function from the dependence on the ultraviolet renormalization scale in an infrared-safe way. The two-loop coefficient of the beta function is generated by the one-loop ultraviolet renormalization of the quantum gauge field via nonlocal terms which are infrared divergent on shell. We also discuss the connection of the beta function to the flow of the Wilsonian coupling.

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