Soft theorem for the graviton, dilation and Kalb-Ramond field in the bosonic string

Paolo di Vecchia; Raffaele Marotta; Matin Mojaza

doi:10.1007/jhep05(2015)137

Soft theorem for the graviton, dilation and Kalb-Ramond field in the bosonic string

Paolo di Vecchia, Raffaele Marotta, Matin Mojaza

Theoretical high energy, astroparticle and gravitational physics

43 Citations (Scopus)

48 Downloads (Pure)

Abstract

Abstract: 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^q1 for external tachyons and up to terms of O^q0 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_μν, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in M_μν in the case of a soft dilaton, in fact do not appear.

Original language	English
Journal	Journal of High Energy Physics (Online)
Volume	2015
Issue number	05
Pages (from-to)	137-164
Number of pages	27
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep05(2015)137
Publication status	Published - 1 May 2015

Access to Document

10.1007/jhep05(2015)137

art_10.1007_JHEP05(2015)137(1)Final published version, 570 KB
10.1007%2FJHEP05%282015%29137.pdfFinal published version, 651 KBLicence: CC BY

Cite this

@article{3fa3c6a5910b402e82186e013db80e5d,

title = "Soft theorem for the graviton, dilation and Kalb-Ramond field in the bosonic string",

abstract = "Abstract: 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 Oq1 for external tachyons and up to terms of Oq0 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, Mμν, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in Mμν in the case of a soft dilaton, in fact do not appear.",

author = "{di Vecchia}, Paolo and Raffaele Marotta and Matin Mojaza",

year = "2015",

month = may,

day = "1",

doi = "10.1007/jhep05(2015)137",

language = "English",

volume = "2015",

pages = "137--164",

journal = "Journal of High Energy Physics (Online)",

issn = "1126-6708",

publisher = "Springer",

number = "05",

}

TY - JOUR

T1 - Soft theorem for the graviton, dilation and Kalb-Ramond field in the bosonic string

AU - di Vecchia, Paolo

AU - Marotta, Raffaele

AU - Mojaza, Matin

PY - 2015/5/1

Y1 - 2015/5/1

N2 - Abstract: 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 Oq1 for external tachyons and up to terms of Oq0 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, Mμν, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in Mμν in the case of a soft dilaton, in fact do not appear.

AB - Abstract: 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 Oq1 for external tachyons and up to terms of Oq0 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, Mμν, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in Mμν in the case of a soft dilaton, in fact do not appear.

U2 - 10.1007/jhep05(2015)137

DO - 10.1007/jhep05(2015)137

M3 - Journal article

SN - 1126-6708

VL - 2015

SP - 137

EP - 164

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 05

ER -

Soft theorem for the graviton, dilation and Kalb-Ramond field in the bosonic string

Abstract

Access to Document

Fingerprint

Cite this