Gluon scattering in ${\cal N}=4$ Super Yang-Mills at finite temperature

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dc.creatorIto, Katsushi
dc.creatorNastase, Horatiu
dc.creatorIwasaki, Koh
dc.date2007-11-22
dc.date2008-01-18
dc.date.accessioned2026-07-07T11:54:21Z
dc.date.available2026-07-07T11:54:21Z
dc.descriptionWe extend the AdS/CFT prescription of Alday and Maldacena to finite temperature $T$, defining the amplitude for gluon scattering in ${\cal N}=4$ Super Yang-Mills at strong coupling from string theory. It is defined by a lightlike ''Wilson loop'' living at the horizon of the T-dual to the black hole in AdS space. Unlike the zero temperature case, this is different from the Wilson loop contour defined at the boundary of the AdS black hole metric, thus at finite $T$ there is no relation between gluon scattering amplitudes and the Wilson loop. We calculate the amplitude at strong coupling for forward scattering of a low energy gluon ($E<T$) off a high energy gluon ($E\gg T$) in both cut-off and generalized dimensional regularization. The generalized dimensional regularization is defined in string theory as an IR modified dimensional reduction. For this calculation, the corresponding usual Wilson loop is related to the jet quenching parameter of the finite temperature ${\cal N}=4$ SYM plasma, while the gluon scattering amplitude is related to the viscosity coefficient.
dc.description33 pages, 9 figures; clarifications of some points added, reference added
dc.identifierhttps://arxiv.org/abs/0711.3532
dc.identifierhttp://arxiv.org/abs/0711.3532
dc.identifierProg.Theor.Phys.120:99-128,2008
dc.identifierdoi:10.1143/PTP.120.99
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204867
dc.subjectHigh Energy Physics - Theory
dc.titleGluon scattering in ${\cal N}=4$ Super Yang-Mills at finite temperature
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