A Non-local "Boundary'' Term for Two-Point Amplitudes in String Field Theory

Fuente: arXiv
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Autori principali: Gen, Yasu, Matsunaga, Hiroaki, Totsuka, Jojiro
Natura: Preprint
Pubblicazione: 2026
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author Gen, Yasu
Matsunaga, Hiroaki
Totsuka, Jojiro
author_facet Gen, Yasu
Matsunaga, Hiroaki
Totsuka, Jojiro
contents We propose a new ``boundary'' term in free bosonic string field theory. Here, the term ``boundary'' refers to a contribution introduced to restore the cyclicity broken by the insertion of a stringy step-function operator, although it is not strictly localized as it involves an operator that selects positive-energy modes. We construct this term as a bilinear form involving the commutator of the BRST operator with the step-function operator. The resulting action has a well-defined variational principle. When evaluated on on-shell string fields, the proposed term reproduces the correct tree-level two-point amplitude for both open and closed strings. We verify this explicitly in the tachyon and massless sectors.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01784
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Non-local "Boundary'' Term for Two-Point Amplitudes in String Field Theory
Gen, Yasu
Matsunaga, Hiroaki
Totsuka, Jojiro
High Energy Physics - Theory
We propose a new ``boundary'' term in free bosonic string field theory. Here, the term ``boundary'' refers to a contribution introduced to restore the cyclicity broken by the insertion of a stringy step-function operator, although it is not strictly localized as it involves an operator that selects positive-energy modes. We construct this term as a bilinear form involving the commutator of the BRST operator with the step-function operator. The resulting action has a well-defined variational principle. When evaluated on on-shell string fields, the proposed term reproduces the correct tree-level two-point amplitude for both open and closed strings. We verify this explicitly in the tachyon and massless sectors.
title A Non-local "Boundary'' Term for Two-Point Amplitudes in String Field Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2605.01784