On the high spin expansion in the image image SYM theory Original Research Article

We study the form of the high spin expansion of the minimal anomalous dimension for long operators belonging to the image sector of image SYM. Keeping fixed the ratio j between the twist and the logarithm of the spin, the minimal anomalous dimension expands as image. This particular double scaling limit is efficiently described, including the desired accuracy image, in terms of a linear integral equation. By its use, we are able to evaluate both at weak and strong coupling the subleading scaling function image as a series in j, up to the order image. Thanks to these results, the possible extension of the liaison with the image non-linear sigma model may be tackled on a solid ground.