
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.
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\(_{5}\times S^{5}\)
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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