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
9 January 2017
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).
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.
Text
art_10.1007_JHEP01(2017)031
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Accepted/In Press date: 25 December 2016
e-pub ahead of print date: 9 January 2017
Published date: 9 January 2017
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58 pages, harvmac TeX, v2: cosmetic changes, published version
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hep-th
Organisations:
Mathematical Sciences
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Local EPrints ID: 406430
URI: http://eprints.soton.ac.uk/id/eprint/406430
PURE UUID: 1540b346-9e46-463d-92a2-35a2d178f755
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Date deposited: 10 Mar 2017 10:47
Last modified: 16 Mar 2024 04:17
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Author:
Oliver Schlotterer
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