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On Quantum Corrections to Spinning Strings and Bethe Equations

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arxiv hep-th/0509084 v3 pith:F6YQQ2JH submitted 2005-09-12 hep-th

On Quantum Corrections to Spinning Strings and Bethe Equations

classification hep-th
keywords bethequantumcorrectionscouplingeffectiveequationsspinningstring
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

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  1. On quantum corrections to semiclassical strings on $\mathrm{AdS}_5\times S^5/\mathbb{Z}_{L}$ orbifold backgrounds

    hep-th 2026-07 conditional novelty 5.0

    On an orbifold AdS5×S5/ZL background, one-loop string energies for three semiclassical solutions match finite-size twisted Bethe-ansatz and Landau-Lifshitz predictions, with novel stable fractional-winding sectors.