Comments on the two-point string amplitudes
High Energy Physics - Theory
2023-06-14 v3
Abstract
The two-point string amplitude at tree level in flat spacetime reproduces the expected expression for free particles. This has been proven by Erbin, Maldacena and Skliros in [JHEP 07 (2019) 139] by two methods. Here, we provide an alternative proof of this result. Our method consists in considering a timelike Liouville direction as a regularization parameter, which suffices to break time translation invariance and, at the same time, to stabilize the residual conformal symmetry in the worldsheet. This allows taking a limit and restoring Poincare symmetry in a controlled way, thus reproducing the correct expression of the two-point amplitude.
Cite
@article{arxiv.2303.15658,
title = {Comments on the two-point string amplitudes},
author = {Gaston Giribet and Nicholas Labranche and Joan La Madrid},
journal= {arXiv preprint arXiv:2303.15658},
year = {2023}
}
Comments
13 pages. v3 references and comments added. Version accepted for publication