Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study

Schäfer-Nameki, S.; Zamaklar, M.; Zarembo, K.

Abstract

We analyze quantum corrections to rigid spinning strings in AdS5 × S5. The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the string theory energy shift in the parameter 1/2 and subsequently resumming them yields a divergent result. However, upon zeta-function regularisation these results agree with the Bethe ansatz in the first three orders. We also perform an analogous computation in the limit of large winding number, which results in a disagreement with the string Bethe ansatz prediction. A similar mismatch is observed numerically. We comment on the possible origin of this discrepancy.

Citation

Schäfer-Nameki, S., Zamaklar, M., & Zarembo, K. (2005). Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study. Journal of High Energy Physics, 2005(09), https://doi.org/10.1088/1126-6708/2005/09/051

• Journal Article Type: Article
• Publication Date: Sep 20, 2005
• Deposit Date: Apr 25, 2007
• 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: 2005
• Issue: 09
• DOI: https://doi.org/10.1088/1126-6708/2005/09/051
• Keywords: Bethe Ansatz, AdS-CFT, dS-CFT correspondence.