论文标题

开放字符串字段理论中经典解决方案的新S-Matrix公式的证明(或在不使用Feynman规则的情况下衍生开机字符串振幅,第二部分)

Proof of new S-matrix formula from classical solutions in open string field theory (or, Deriving on-shell open string field amplitudes without using Feynman rules, Part II)

论文作者

Masuda, Toru, Matsunaga, Hiroaki, Noumi, Toshifumi

论文摘要

我们研究[Arxiv:1908.09784]中获得的规格不变数量与穿着$ \ Mathcal B_0 $ g_0 $量规的Feynman图中获得的量规数量之间的关系。我们得出了一组复发关系,该关系在该规格不变数量的术语中存在。通过使用这些关系,我们证明该规格不变的数量等于树级别的$ S $ -MATRIX。我们还提供了一个证明,表明[Arxiv:2003.03021 [hepth]]中提出的一组新的Feynman规则可以通过使用相同的组合身份正确地重现Onshell圆盘振幅。

We study relation between the gauge invariant quantity obtained in [arXiv:1908.09784] and the Feynman diagrams in the dressed $ \mathcal B_0 $ gauge in the open cubic string field theory. We derive a set of recurrence relations that hold among the terms of this gauge invariant quantity. By using these relations, we prove that this gauge invariant quantity equals the $S$-matrix at the tree level. We also present a proof that a set of new Feynman rules proposed in [arXiv:2003.05021 [hep-th]] reproduces the onshell disc amplitudes correctly by using the same combinatorial identities.

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