High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from high-energy amplitudes in the Regge regime. T...

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2012
Автори: Lee, J., Yan, C.H., Yang, Y.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2012
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/148459
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:High-Energy String Scattering Amplitudes and Signless Stirling Number Identity / J. Lee, C.H. Yan, Y. Yang // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Lee, J.
Yan, C.H.
Yang, Y.
author_facet Lee, J.
Yan, C.H.
Yang, Y.
citation_txt High-Energy String Scattering Amplitudes and Signless Stirling Number Identity / J. Lee, C.H. Yan, Y. Yang // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from high-energy amplitudes in the Regge regime. The proof is based on a signless Stirling number identity in combinatorial theory. The results are valid for arbitrary real values L rather than only for L=0,1 proved previously. The identities for non-integer real value L were recently shown to be realized in high-energy compactified string scattering amplitudes [He S., Lee J.C., Yang Y., arXiv:1012.3158]. The parameter L is related to the mass level of an excited string state and can take non-integer values for Kaluza-Klein modes.
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publisher Інститут математики НАН України
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spelling Lee, J.
Yan, C.H.
Yang, Y.
2019-02-18T13:03:56Z
2019-02-18T13:03:56Z
2012
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity / J. Lee, C.H. Yan, Y. Yang // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 81T30; 83E30
DOI: http://dx.doi.org/10.3842/SIGMA.2012.045
https://nasplib.isofts.kiev.ua/handle/123456789/148459
We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from high-energy amplitudes in the Regge regime. The proof is based on a signless Stirling number identity in combinatorial theory. The results are valid for arbitrary real values L rather than only for L=0,1 proved previously. The identities for non-integer real value L were recently shown to be realized in high-energy compactified string scattering amplitudes [He S., Lee J.C., Yang Y., arXiv:1012.3158]. The parameter L is related to the mass level of an excited string state and can take non-integer values for Kaluza-Klein modes.
We thank Rong-Shing Chang, Song He, Yoshihiro Mitsuka and Keijiro Takahashi for helpful
 discussions. This work is supported in part by the National Science Council, 50 billions project of Ministry of Education and National Center for Theoretical Science, Taiwan.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Article
published earlier
spellingShingle High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Lee, J.
Yan, C.H.
Yang, Y.
title High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
title_full High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
title_fullStr High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
title_full_unstemmed High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
title_short High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
title_sort high-energy string scattering amplitudes and signless stirling number identity
url https://nasplib.isofts.kiev.ua/handle/123456789/148459
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