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On Quantum Corrections to Spinning Strings and Bethe Equations

N. Beisert·A. A. Tseytlin
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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.

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N. Beisert, A. A. Tseytlin. 2005-09-26. On Quantum Corrections to Spinning Strings and Bethe Equations. https://doi.org/10.1016/j.physletb.2005.09.054

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