Quantum Scattering of Giant Magnons

TL;DR

This paper computes one-loop quantum corrections to giant magnons in AdS_5 x S^5 string theory, confirming predictions from integrability and matching the strong coupling expansion of Bethe Ansatz equations.

Contribution

It provides the first-principles semi-classical calculation of quantum corrections, including the Hernandez-Lopez term, aligning with integrability-based predictions.

Findings

Exact agreement with Bethe Ansatz predictions

Reproduction of the Hernandez-Lopez dressing phase

Validation of semi-classical quantum correction methods

Abstract

We perform a first-principles semi-classical computation of the one-loop corrections to the dispersion relation and S-matrix of Giant Magnons in AdS_5 x S^5 string theory. The results agree exactly with expectations based on the strong coupling expansion of the exact Asymptotic Bethe Ansatz equations. In particular we reproduce the Hernandez-Lopez term in the dressing phase.