Abstract
We analyze quantum corrections to rigid spinning strings in
AdS5 × S5. The one-loop worldsheet quantum correction to the
string energy is compared to the finite-size correction from the
quantum string Bethe ansatz. Expanding the summands of the string
theory energy shift in the parameter 1/
2 and
subsequently resumming them yields a divergent result. However, upon
zeta-function regularisation these results agree with the Bethe ansatz
in the first three orders. We also perform an analogous computation in
the limit of large winding number, which results in a disagreement
with the string Bethe ansatz prediction. A similar mismatch is
observed numerically. We comment on the possible origin of this
discrepancy.
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