Stringy sums and corrections to the quantum string Bethe ansatz.

Schafer-Nameki, S.; Zamaklar, M.

doi:10.1088/1126-6708/2005/10/044

Stringy sums and corrections to the quantum string Bethe ansatz.

Schafer-Nameki, S.; Zamaklar, M.

Authors

S. Schafer-Nameki

Dr Marija Zamaklar marija.zamaklar@durham.ac.uk
Associate Professor

Abstract

We analyze the effects of zeta-function regularization on the evaluation of quantum corrections to spinning strings. Previously, this method was applied in the (2) subsector and yielded agreement to third order in perturbation theory with the quantum string Bethe ansatz. In this note we discuss related sums and compare zeta-function regularization against exact evaluation of the sums, thereby showing that the zeta-function regularized expression misses out perturbative as well as non-perturbative terms. In particular, this may imply corrections to the proposed quantum string Bethe equations. This also explains the previously observed discrepancy between the semi-classical string and the quantum string Bethe ansatz in the regime of large winding number.

Citation

Schafer-Nameki, S., & Zamaklar, M. (2005). Stringy sums and corrections to the quantum string Bethe ansatz. Journal of High Energy Physics, 10, https://doi.org/10.1088/1126-6708/2005/10/044

Journal Article Type	Article
Publication Date	2005-10
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Electronic ISSN	1029-8479
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	10
DOI	https://doi.org/10.1088/1126-6708/2005/10/044
Keywords	AdS-CFT, S-CFT Correspondence