Two-point String Amplitudes Revisited by Operator Formalism
Abstract
So far we have considered that a two-point string amplitude vanishes due to the infinite volume of residual gauge symmetry. However recently Erbin-Maldacena-Skliros have suggested that the two-point amplitude can have non-zero value, because one can cancel the infinite volume by the infinity coming from on-shell energy conservation. They derived the two-point function by Fadeev-Popov method. In this paper we revisit this two-point string amplitude in the operator formalism. We find the mostly BRST exact operator which yields non-zero two-point amplitudes.
Keywords
Cite
@article{arxiv.1909.03672,
title = {Two-point String Amplitudes Revisited by Operator Formalism},
author = {Shigenori Seki and Tomohiko Takahashi},
journal= {arXiv preprint arXiv:1909.03672},
year = {2020}
}
Comments
8 pages; v2: the normalization of ${\cal V_0}$ is fixed, the conclusion does not change; v3: the discussion about closed string is modified, comments on n-point amplitude are added, refs added, version for publication