Hernández Redondo, RafaelLópez, Esperanza2023-06-202023-06-202006-071126-670810.1088/1126-6708/2006/07/004https://hdl.handle.net/20.500.14352/52158© SISSA 2006. The work of R.H. is supported by a CERN fellowship. The work of E.L. is supported by a Ramón y Cajal contract of MCYT and in part by the Spanish DGI under contracts FPA2003-02877 and FPA2003-04597.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.engjournal articlehttps://doi.org/10.1088/1126-6708/2006/07/004http://iopscience.iop.orghttps://arxiv.org/abs/hep-th/0603204v2open access53Física-Modelos matemáticos