Subleading-color contributions to gluon-gluon scattering in N=4 SYM theory and relations to N=8 supergravity

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dc.creatorNaculich, Stephen G.
dc.creatorNastase, Horatiu
dc.creatorSchnitzer, Howard J.
dc.date2008-09-02
dc.date2008-09-05
dc.date.accessioned2026-07-07T11:45:43Z
dc.date.available2026-07-07T11:45:43Z
dc.descriptionWe study the subleading-color (nonplanar) contributions to the four-gluon scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the formalisms of Catani and of Sterman and Tejeda-Yeomans, we develop explicit expressions for the infrared-divergent contributions of all the subleading-color L-loop amplitudes up to three loops, and make some conjectures for the IR behavior for arbitrary L. We also derive several intriguing relations between the subleading-color one- and two-loop four-gluon amplitudes and the four-graviton amplitudes of N=8 supergravity. The exact one- and two-loop N=8 supergravity amplitudes can be expressed in terms of the one- and two-loop N-independent N=4 SYM amplitudes respectively, but the natural generalization to higher loops fails, despite having a simple interpretation in terms of the 't Hooft picture. We also find that, at least through two loops, the subleading-color amplitudes of N=4 SYM theory have uniform transcendentality (as do the leading-color amplitudes). Moreover, the N=4 SYM Catani operators, which express the IR-divergent contributions of loop amplitudes in terms of lower-loop amplitudes, are also shown to have uniform transcendentality, and to be the maximum transcendentality piece of the QCD Catani operators.
dc.description30 pages; v2: corrections in sec. 6, minor addition in sec. 3.3
dc.identifierhttps://arxiv.org/abs/0809.0376
dc.identifierhttp://arxiv.org/abs/0809.0376
dc.identifierJHEP0811:018,2008
dc.identifierdoi:10.1088/1126-6708/2008/11/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201971
dc.subjectHigh Energy Physics - Theory
dc.titleSubleading-color contributions to gluon-gluon scattering in N=4 SYM theory and relations to N=8 supergravity
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