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Exponential Fall-Off Behavior of Regge Scatterings in Compactified Open String Theory

2010/12/31 by Song He, S. He, J.-C. Lee +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1143/ptp.128.887

published as Prog. Theor. Phys. 128 (2012), 887-901 · 17 pages. v2:18 pages,corrected Eqs.(3.4),(4.24)-(4.26). v3:19 pages,Eqs.(3.11),(3.12) added, more on conclusion. arXiv admin note: text overlap with arXiv:0805.3168, arXiv:1101.1228, arXiv:0811.4502, arXiv:0812.4190, arXiv:1001.5392

arxiv created 2012/07/20 · openalex publication_date 2012/11/01 · arxiv updated 2012/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate massive string scattering amplitudes of compactified open string in the Regge regime. We extract the complete infinite ratios among high-energy amplitudes of different string states in the fixed angle regime from these Regge string scattering amplitudes. The complete ratios calculated by this indirect method include and extend the subset of ratios calculated previously [J. C. Lee and Y. Yang, Nucl. Phys. B 784 (2007), 22; J. C. Lee, T. Takimi and Y. Yang, Nucl. Phys. B 804 (2008), 250] by the more difficult direct fixed angle calculation. In this calculation of compactified open string scattering, we discover a realization of arbitrary real values L in the identity Eq. (4·18), rather than integer value only in all previous high-energy string scattering amplitude calculations. The identity in Eq. (4·18) was explicitly proved recently in [J. C. Lee, C. H. Yan and Y. Yang, SIGMA 8 (2012), 045, arXiv:1012.5225] to link fixed angle and Regge string scattering amplitudes. In addition, we discover a kinematic regime with stringy highly winding modes, which shows the unusual exponential fall-off behavior in the Regge string scattering. This is complimentary with a kinematic regime discovered previously [J. C. Lee, T. Takimi and Y. Yang, Nucl. Phys. B 804 (2008), 250] which shows the unusual power-law behavior in the high-energy fixed angle compactified string scatterings.

Citations