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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148459 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862579593533194240 |
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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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| first_indexed | 2025-11-26T19:16:19Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148459 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T19:16:19Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| 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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