On Quantum Corrections to Spinning Strings and Bethe Equations

Details On Quantum Corrections to Spinning Strings and Bethe Equations On Quantum Corrections to Spinning Strings and Bethe Equations

2005-09-12

arxiv.org/abs/hep-th/0509084v3

Phys.Lett.B629:102-110,2005

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, v2, v3: minor corrections, footnotes and references added, v3: to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.09.054

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.

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