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

0568018 - FZÚ 2023 RIV US eng J - Journal Article
Masuda, Toru - Matsunaga, Hiroaki - Noumi, T.
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.
Progress of Theoretical and Experimental Physics. Roč. 2022, č. 1 (2022), č. článku 013B07. ISSN 2050-3911
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : B28 String field theory * invariance: gauge * string: open
OECD category: Particles and field physics
Impact factor: 8.3, year: 2022
Method of publishing: Open access

We study the relation between the gauge-invariant quantity obtained by T. Masuda and H. Matsunaga (arXiv:1908.09784) and the Feynman diagrams in the dressed B0 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 by T. Masuda and H. Matsunaga (arXiv:2003.05021) reproduces the on-shell disk amplitudes correctly by using the same combinatorial identities.
Permanent Link: https://hdl.handle.net/11104/0339353