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arXiv 2005.05877hep-th
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无质量闭弦与任意数目闭弦快子相互作用的双软行为

Double-soft behavior of massless closed strings interacting with any number of closed string tachyons

Raffaele Marotta, Matin Mojaza

摘要:

本文在树的层次上计算了两个无质量闭弦与任意数目的闭弦快子散射到次引导阶的同时双软极限。该极限将散射振幅分解为一个双软因子乘以纯快子振幅,提出了无质量闭弦的一个普适双软定理。我们确认了双软引力子在壳层上等价但形式不同的现有结果,同时也建立了弦介子和Kalb-Ramond态的双软因式分解行为,以及混合引力子-介子的情况。我们还证明了同时双软定理和连续双软定理是相互一致的。我们还对我们的结果提供了一个完整的场论图解,特别是使我们能够建立两个快子和两个无质量闭合弦态的四点相互作用顶点,以及两个无质量闭合弦态和一个快子的三点相互作用在场论中的缺失.

英文摘要:

We calculate the simultaneous double-soft limit of two massless closed strings scattering with any number of closed string tachyons to the subleading order at the tree level. The limit factorizes the scattering amplitude into a double-soft factor multiplying the pure tachyon subamplitude, suggesting a universal double-soft theorem for the massless closed string. We confirm an existing result for the double-soft graviton in an on-shell equivalent, but different form, while also establishing the double-soft factorization behavior of the string dilaton and of the Kalb-Ramond state, as well as the mixed graviton-dilaton case. We also show that the simultaneous and consecutive double-soft theorems are consistent with each other. We furthermore provide a complete field theory diagrammatic view on our result, which enables us in particular to establish a four-point interaction vertex for two tachyons and two massless closed string states, as well as the missing in field theory of three-point interaction of two massless closed string state and one tachyon.

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