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Stringy sums and corrections to the quantum string Bethe ansatz.

Schafer-Nameki, S.; Zamaklar, M.


S. Schafer-Nameki


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.


Schafer-Nameki, S., & Zamaklar, M. (2005). Stringy sums and corrections to the quantum string Bethe ansatz. Journal of High Energy Physics, 10,

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
Keywords AdS-CFT, S-CFT Correspondence