On Quantum Corrections to Spinning Strings and Bethe Equations
High Energy Physics - Theory
2010-04-06 v3
Abstract
Recently, it was demonstrated that one-loop energy shifts of spinning superstrings on AdS5xS5 agree with certain Bethe equations for quantum strings at small effective coupling. However, the string result required artificial regularization by zeta-function. Here we show that this matching is indeed correct up to fourth order in effective coupling; beyond, we find new contributions at odd powers. We show that these are reproduced by quantum corrections within the Bethe ansatz. They might also identify the "three-loop discrepancy" between string and gauge theory as an order-of-limits effect.
Cite
@article{arxiv.hep-th/0509084,
title = {On Quantum Corrections to Spinning Strings and Bethe Equations},
author = {N. Beisert and A. A. Tseytlin},
journal= {arXiv preprint arXiv:hep-th/0509084},
year = {2010}
}
Comments
12 pages, v2, v3: minor corrections, footnotes and references added, v3: to appear in Phys. Lett. B