The strong coupling limit of the scaling function from the quantum string Bethe ansatz Original Research Article

Using the quantum string Bethe ansatz we derive the one-loop energy of a folded string rotating with angular momenta image in image in the limit image, image fixed. The one-loop energy is a sum of two contributions, one originating from the Hernandez–Lopez phase and another one being due to spin chain finite size effects. We find a result which at the functional level exactly matches the result of a string theory computation. Expanding the result for large z we obtain the strong coupling limit of the scaling function for low twist, high spin operators of the image sector of image SYM. In particular, we recover the famous image. Its appearance is a result of non-trivial cancellations between the finite size effects and the Hernandez–Lopez correction.