One-loop four-point function in noncommutative {\cal N}=4 Yang-Mills theory

Details One-loop four-point function in noncommutative {\cal N}=4 Yang-Mills theory One-loop four-point function in noncommutative {\cal N}=4 Yang-Mills theory

2000-10-30

arxiv.org/abs/hep-th/0010275v1

JHEP 0101 (2001) 024

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 14 pages, 2 figures

Scientific paper

10.1088/1126-6708/2001/01/024

We compute the one-loop four-point function in {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). We perform the calculation in {\cal N}=1 superspace using the background field method and obtain the complete off-shell contributions to the effective action from planar and non planar supergraphs. In the low-energy approximation the result simplifies and we can study its properties under gauge transformations. It appears that the nonplanar contributions do not maintain the gauge invariance of the classical action.

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