Quantum corrections to the string Bethe ansatz

TL;DR

This paper derives the first quantum correction to the string Bethe ansatz, essential for accurately capturing non-analytic terms in the energy of semiclassical rotating strings, advancing the understanding of quantum effects in string theory.

Contribution

It provides a general expression for the first quantum correction to the string Bethe ansatz, incorporating non-analytic contributions from quantum effects.

Findings

Analytic terms match classical string predictions.

Non-analytic quantum corrections are explicitly derived.

Enhances the precision of the string Bethe ansatz with quantum effects.

Abstract

One-loop corrections to the energy of semiclassical rotating strings contain both analytic and non-analytic terms in the 't Hooft coupling. Analytic contributions agree with the prediction from the string Bethe ansatz based on the classical S-matrix, but in order to include non-analytic contributions quantum corrections are required. We find a general expression for the first quantum correction to the string Bethe ansatz.