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Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
2005 (English)In: Journal of High Energy Physics, Vol. 0509, 051- p.Article in journal (Other (popular scientific, debate etc.)) Published
Abstract [en]

We analyze quantum corrections to rigid spinning strings in AdS(5)xS(5). 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 \lambda/J^2 and subsequently resumming them yields a divergent result. However, upon zeta-function regularization this result agrees with the Bethe ansatz at 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.

Place, publisher, year, edition, pages
2005. Vol. 0509, 051- p.
URN: urn:nbn:se:uu:diva-79423OAI: oai:DiVA.org:uu-79423DiVA: diva2:107336
Available from: 2006-04-10 Created: 2006-04-10 Last updated: 2011-01-11

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