One-loop four-point function in non-commutative N=4 Yang-Mills theory

Citation
A. Santambrogio et D. Zanon, One-loop four-point function in non-commutative N=4 Yang-Mills theory, J HIGH EN P, 2001(1), 2001, pp. NIL_563-NIL_578
Citations number
37
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
1
Year of publication
2001
Pages
NIL_563 - NIL_578
Database
ISI
SICI code
1029-8479(200101)2001:1<NIL_563:OFFINN>2.0.ZU;2-E
Abstract
We compute the one-loop four-point function in N = 4 supersymmetric Yang-Mi lls theory with gauge group U(N). We perform the calculation in N = 1 super space using the background field method and obtain the complete off-shell c ontributions to the effective action from planar and non-planar supergraphs . In the low-energy approximation the result simplifies and we can study it s properties under gauge transformations. It appears that the non-planar co ntributions do not maintain the gauge invariance of the classical action.