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arXiv 0709.4657hep-th
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紧致空间中高能弦散射的幂律行为

Power-law Behavior of High Energy String Scatterings in Compact Spaces

Jen-Chi Lee, Yi Yang

摘要:

计算了环面上紧化玻色弦的高能大质量散射振幅。我们得到了高能散射振幅之间的无限线性关系。对于某些运动学区域,我们发现某些线性关系被打破,同时,由于时空T对偶在紧致方向上的对称性,振幅增强到幂律行为。这一结果与我们先前指出的高能弦散射振幅的线性关系和较软的指数衰减行为的共存是一致的。这也让人想起波尔钦斯基和斯特拉斯勒提出的扭曲时空中的硬(幂律)弦散射。

英文摘要:

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. We obtain infinite linear relations among high energy scattering amplitudes. For some kinematic regimes, we discover that some linear relations break down and, simultaneously, the amplitudes enhance to power-law behavior due to the space-time T-duality symmetry in the compact direction. This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also reminiscent of hard (power-law) string scatterings in warped spacetime proposed by Polchinski and Strassler.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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