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arXiv 2402.06153hep-th
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Veneziano振幅的复鞍点与时间延迟

Complex saddles and time-delay of Veneziano amplitude

Takuya Yoda

AI总结:

针对弦散射振幅形式积分在物理运动学区域发散的问题,研究采用新积分围道计算Veneziano振幅的时间延迟,经thimble分析发现无穷多复鞍点参与积分,各对应不同洛伦兹时间进入散射区的弦路径。

摘要:

弦散射振幅通常以形式积分表达,这类积分在物理运动学区域中会发散。近期研究通过重新定义积分围道解决了该发散问题。本文将这种新积分围道应用于计算Veneziano振幅的时间延迟。对新积分围道的thimble(最速下降围道)分析表明,无穷多个复鞍点对新积分有贡献,每个复鞍点可解释为在不同洛伦兹时间进入散射区域的弦路径。

英文摘要:

String scattering amplitudes are typically expressed in formal integrals which diverge in physical kinematic regions. Recently the problem of divergence was cured by redefining integration contours. In this paper, we apply the new integration contour to evaluate time-delay of the Veneziano amplitude. Thimble analysis of the new integration contour tells us that infinitely many complex saddles contribute to the new integral. Each complex saddle is interpreted as a string path which enters into the scattering region at different Lorentzian time.

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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