High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
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| Creator |
Lee, J.
Yan, C.H. Yang, Y. |
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| 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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| Date |
2019-02-18T13:03:56Z
2019-02-18T13:03:56Z 2012 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/148459 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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