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Lattice perturbation theory for the null cusp string

Bliard, G., Costa, I., Forini, V. ORCID: 0000-0001-9726-1423 & Patella, A. (2022). Lattice perturbation theory for the null cusp string. Physical Review D, 105(7), 074507. doi: 10.1103/physrevd.105.074507


We reconsider the problem of discretizing the worldsheet for the gauge-fixed Green-Schwarz superstring on a null cusp background, and present a setup which fully preserves its global U(1)×SU(4) symmetry. We discuss divergences by power counting on the lattice, and study renormalizability at one loop with the example of one-point functions and one bosonic correlator of the worldsheet excitations. In order to remove UV divergences at one loop, it is necessary to introduce two extra parameters in the action, which need to be either fine-tuned at tree level or renormalized at one loop.

Publication Type: Article
Additional Information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
Text - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

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