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The subleading eikonal in supergravity theories
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. The Niels Bohr Institute University of Copenhagen Copenhagen Denmark.
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2018, no 10, article id 38Article in journal (Refereed) Published
Abstract [en]

In this paper we study the subleading contributions to eikonal scattering in (super)gravity theories with particular emphasis on the role of both elastic and inelastic scattering processes. For concreteness we focus on the scattering of various massless particles off a stack of Dp-branes in type II supergravity in the limit of large impact parameter b. We analyse the relevant field theory Feynman diagrams which naturally give rise to both elastic and inelastic processes. We show that in the case analysed the leading and subleading eikonal only depend on elastic processes, while inelastic processes are captured by a pre-factor multiplying the exponentiated leading and subleading eikonal phase. In addition to the traditional Feynman diagram computations mentioned above, we also present a novel method for computing the amplitudes contributing to the leading and subleading eikonal phases, which, in the large b limit, only involves knowledge of the onshell three and four-point vertices. The two methods are shown to give the same results. Furthermore we derive these results in yet another way, by computing various one-point amplitudes which allow us to extract the classical solution of the gravitational back reaction of the target Dp-branes. Finally we show how our expressions for the leading and subleading eikonal agree with the calculation of the metric and corresponding deflection angle for massless states moving along geodesics in the relevant curved geometry.

Place, publisher, year, edition, pages
Springer Verlag , 2018. Vol. 2018, no 10, article id 38
Keywords [en]
Classical Theories of Gravity, D-branes, Scattering Amplitudes
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-247159DOI: 10.1007/JHEP10(2018)038ISI: 000452186200002Scopus ID: 2-s2.0-85054474962OAI: oai:DiVA.org:kth-247159DiVA, id: diva2:1313955
Note

QC 20190507

Available from: 2019-05-07 Created: 2019-05-07 Last updated: 2020-02-19Bibliographically approved

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Di Vecchia, Paolo

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