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Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. University of Copenhagen, Denmark.ORCID iD: 0000-0002-7672-9688
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Sweden.
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, article id 137Article in journal (Refereed) Published
Abstract [en]

We study the behavior of the scattering amplitudes of the bosonic string involving a soft massless state (graviton, dilaton and Kalb-Ramond antisymmetric tensor) and closed string tachyons or other closed string massless states. For a soft graviton we confirm the results, obtained in ref. [37] using just gauge invariance, up to terms of O(q(1)) for external tachyons and up to terms of O(q(0)) for external massless closed string states. Furthermore, we also derive the behavior of the scattering amplitude when a dilaton or a Kalb-Ramond field becomes soft. These results are new and cannot, to our knowledge, be derived by using gauge invariance. It turns out, in the cases examined, that the soft amplitude for a dilaton or for an antisymmetric tensor is obtained by saturating the tensor, M (mu nu) , derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in M (mu nu) in the case of a soft dilaton, in fact do not appear.

Place, publisher, year, edition, pages
2015. no 5, article id 137
Keywords [en]
Scattering Amplitudes, Bosonic Strings, String Field Theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-172234DOI: 10.1007/JHEP05(2015)137ISI: 000355343100001Scopus ID: 2-s2.0-84930205485OAI: oai:DiVA.org:kth-172234DiVA, id: diva2:848471
Note

QC 20150825

Available from: 2015-08-25 Created: 2015-08-14 Last updated: 2024-03-18Bibliographically approved

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Di Vecchia, PaoloMojaza, Matin

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