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arXiv 1012.3158hep-th
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紧化开弦论中Regge散射的指数下降行为

Exponential fall-off Behavior of Regge Scatterings in Compactified Open String Theory

Song He, Jen-Chi Lee, Yi Yang

摘要:

计算了紧致开弦在Regge区的质量弦散射振幅。我们从这些Regge弦散射振幅中提取了固定角区域中不同弦态的高能振幅之间的完全无限比值。通过这种间接方法计算的完整比率包括并通过更困难的直接固定角度计算扩展了先前计算的比率子集(Lee和Yang,2007年,以及Lee,Takimi和Yang,2008年)。在紧化开弦散射的计算中,我们发现了恒等式中任意实值L的一种实现。(4.18),而不是以往所有的高能弦散射振幅计算中只取整数值。Eq中的身份。(4.18)最近在Lee、Yan和Yang中明确证明了固定角和Regge弦散射振幅之间的联系。此外,我们发现了一个运动机制与弦高度缠绕模式,这表明不寻常的指数下降行为的Regge弦散射。这与之前发现的动能机制(Lee,Takimi,and Yang,2008)是互补的,后者显示了高能固定角紧化弦散射中不寻常的幂律行为。关键词:Regge弦散射;高能弦

英文摘要:

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 (Lee and Yang, 2007, and Lee, Takimi, and Yang, 2008) 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 Lee, Yan, and Yang 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 in complementary with a kenematic regime discovered previously (Lee, Takimi, and Yang, 2008), which shows the unusual power-law behavior in the high-energy fixed angle compactified string scatterings. Key words: Regge string scatterings; High-energy String

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