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arXiv 0903.3019hep-phgr-qchep-th
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ADD中的经典超相对论散射

Classical ultra-relativistic scattering in ADD

Dmitry V. Gal'tsov, Georgios Kofinas, Pavel Spirin, Theodore N. Tomaras

摘要:

在具有额外环维的可因子化模型中,计算了高能小角引力散射的经典微分截面。经典计算的三个主要特征是:(a)它涉及无限卡鲁扎-克莱因塔的求和,但与玻恩振幅相反,它是有限的,不需要紫外截止。(b)它对应于非微扰鞍点近似的程函振幅,通过求和的量子理论的无限数量的梯形图。(c)在没有额外维度的情况下,它再现了所有先前已知的结果。

英文摘要:

The classical differential cross-section is calculated for high-energy small-angle gravitational scattering in the factorizable model with toroidal extra dimensions. The three main features of the classical computation are: (a) It involves summation over the infinite Kaluza-Klein towers but, contrary to the Born amplitude, it is finite with no need of an ultraviolet cutoff. (b) It is shown to correspond to the non-perturbative saddle-point approximation of the eikonal amplitude, obtained by the summation of an infinite number of ladder graphs of the quantum theory. (c) In the absence of extra dimensions it reproduces all previously known results.

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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