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  Quantum corrections to spinning strings in AdS5xS5 versus Bethe ansatz: a comparative study

Zamaklar, M., Zarembo, K., & Schäfer-Nameki, S. (2005). Quantum corrections to spinning strings in AdS5xS5 versus Bethe ansatz: a comparative study. Journal of High Energy Physics, 2005(9): 051. Retrieved from http://www.iop.org/EJ/abstract/1126-6708/2005/09/051.

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Zamaklar, Marija1, Author
Zarembo, Konstantin, Author
Schäfer-Nameki, Sakura, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Issued
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2005 (9) Sequence Number: 051 Start / End Page: - Identifier: -