Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5

Details Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5 Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5

2010-11-11

arxiv.org/abs/1011.2755v3

JHEP 1101:128,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 3 figures. v3: small corrections and a comment added in sec. 4.1

Scientific paper

10.1007/JHEP01(2011)128

We use AdS_5 x S^5 superstring sigma model perturbation theory to compute the leading one-loop corrections to the dispersion relations of the excitations near a long spinning string in AdS. This investigation is partially motivated by the OPE-based approach to the computation of the expectation value of null polygonal Wilson loops suggested in arXiv:1006.2788. Our results are in partial agreement with the recent asymptotic Bethe ansatz computation in arXiv:1010.5237. In particular, we find that the heaviest AdS mode (absent in the ABA approach) is stable and has a corrected one-loop dispersion relation similar to the other massive modes. Its stability might hold also at the next-to-leading order as we suggest using a unitarity-based argument.

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