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Non-abelian Z-theory: Berends-Giele recursion for the α′-expansion of disk integrals

Non-abelian Z-theory: Berends-Giele recursion for the α′-expansion of disk integrals
Non-abelian Z-theory: Berends-Giele recursion for the α′-expansion of disk integrals
We present a recursive method to calculate the α′-expansion of disk integrals arising in tree-level scattering of open strings which resembles the approach of Berends and Giele to gluon amplitudes. Following an earlier interpretation of disk integrals as doubly partial amplitudes of an effective theory of scalars dubbed as Z-theory, we pinpoint the equation of motion of Z-theory from the Berends-Giele recursion for its tree amplitudes. A computer implementation of this method including explicit results for the recursion up to order α′7 is made available on the website http://repo.or.cz/BGap.git.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Mafra, Carlos R. and Schlotterer, Oliver (2017) Non-abelian Z-theory: Berends-Giele recursion for the α′-expansion of disk integrals. Journal of High Energy Physics, 2017 (1), [31]. (doi:10.1007/JHEP01(2017)031).

Record type: Article

Abstract

We present a recursive method to calculate the α′-expansion of disk integrals arising in tree-level scattering of open strings which resembles the approach of Berends and Giele to gluon amplitudes. Following an earlier interpretation of disk integrals as doubly partial amplitudes of an effective theory of scalars dubbed as Z-theory, we pinpoint the equation of motion of Z-theory from the Berends-Giele recursion for its tree amplitudes. A computer implementation of this method including explicit results for the recursion up to order α′7 is made available on the website http://repo.or.cz/BGap.git.

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More information

Accepted/In Press date: 25 December 2016
e-pub ahead of print date: 9 January 2017
Published date: 9 January 2017
Additional Information: 58 pages, harvmac TeX, v2: cosmetic changes, published version
Keywords: hep-th
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 406430
URI: http://eprints.soton.ac.uk/id/eprint/406430
PURE UUID: 1540b346-9e46-463d-92a2-35a2d178f755
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

Catalogue record

Date deposited: 10 Mar 2017 10:47
Last modified: 06 Feb 2020 01:33

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