The subleading eikonal in supergravity theories
Abstract 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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)038 |
| _version_ | 1811197774017855488 |
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| author | Arnau Koemans Collado Paolo Di Vecchia Rodolfo Russo Steven Thomas |
| author_facet | Arnau Koemans Collado Paolo Di Vecchia Rodolfo Russo Steven Thomas |
| author_sort | Arnau Koemans Collado |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-12T01:19:50Z |
| format | Article |
| id | doaj.art-87817ccbe12f45b799966247b4cd8a03 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T01:19:50Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-87817ccbe12f45b799966247b4cd8a032022-12-22T03:53:49ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181013910.1007/JHEP10(2018)038The subleading eikonal in supergravity theoriesArnau Koemans Collado0Paolo Di Vecchia1Rodolfo Russo2Steven Thomas3Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonThe Niels Bohr Institute, University of CopenhagenCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2018)038Scattering AmplitudesD-branesClassical Theories of Gravity |
| spellingShingle | Arnau Koemans Collado Paolo Di Vecchia Rodolfo Russo Steven Thomas The subleading eikonal in supergravity theories Journal of High Energy Physics Scattering Amplitudes D-branes Classical Theories of Gravity |
| title | The subleading eikonal in supergravity theories |
| title_full | The subleading eikonal in supergravity theories |
| title_fullStr | The subleading eikonal in supergravity theories |
| title_full_unstemmed | The subleading eikonal in supergravity theories |
| title_short | The subleading eikonal in supergravity theories |
| title_sort | subleading eikonal in supergravity theories |
| topic | Scattering Amplitudes D-branes Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)038 |
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