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On quantum corrections to spinning strings and Bethe equations

Authors: Beisert, Niklas; id_orcid0000-0002-7280-4214; Tseytlin, Arkady A.;

On quantum corrections to spinning strings and Bethe equations

Abstract

Recently, it was demonstrated that one-loop energy shifts of spinning superstrings on AdS5 x S5 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.

Country
Switzerland
Keywords

Bethe equations, High Energy Physics - Theory, Nuclear and High Energy Physics, quantum corrections, High Energy Physics - Theory (hep-th), FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, spinning superstrings, AdS\(_{5}\times S^{5}\)

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    113
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
113
Top 10%
Top 10%
Top 1%
Green
gold