Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
Abstract
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.
Keywords
Cite
@article{arxiv.1011.2755,
title = {Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5},
author = {S. Giombi and R. Ricci and R. Roiban and A. A. Tseytlin},
journal= {arXiv preprint arXiv:1011.2755},
year = {2015}
}
Comments
22 pages, 3 figures. v3: small corrections and a comment added in sec. 4.1