The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant

Details The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant

2000-11-15

arxiv.org/abs/hep-th/0011140v1

Phys.Lett. B504 (2001) 131-140

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 13 pages, 4 figures

Scientific paper

10.1016/S0370-2693(01)00279-9

We study the gauge transformation of the recently computed one-loop four-point function of {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). The contributions from nonplanar diagrams are not gauge invariant. We compute their gauge variation and show that it is cancelled by the variation from corresponding terms of the one-loop five-point function. This mechanism is general: it insures the gauge invariance of the noncommutative one-loop effective action.

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