The One loop effective action of noncommutative N=4 superYang-Mills is gauge invariant

Pernici, Mario; Santambrogio, Alberto; Zanon, Daniela

doi:10.1016/S0370-2693(01)00279-9

The One loop effective action of noncommutative N=4 superYang-Mills is gauge invariant

Mario Pernici
(
- Milan U. and
- INFN, Milan
)
,
Alberto Santambrogio
(
- Milan U. and
- INFN, Milan
)
,
Daniela Zanon
(
- Milan U. and
- INFN, Milan
)

Nov, 2000

13 pages

Published in:

Phys.Lett.B 504 (2001) 131-140

e-Print:

hep-th/0011140 [hep-th]

DOI:

10.1016/S0370-2693(01)00279-9

Report number:

IFUM-FT-668

View in:

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Abstract:

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.

Note:

LaTex, 13 pages, 4 figures Report-no: IFUM-FT-668

gauge field theory: U(N)
supersymmetry: superfield
n-point function: 4
effective action
perturbation theory: higher-order
invariance: gauge

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