Anomalous dimensions of finite size field strength operators in N=4 SYM

Beccaria, M. & Forini, V. ORCID: 0000-0001-9726-1423 (2007). Anomalous dimensions of finite size field strength operators in N=4 SYM. Journal of High Energy Physics, 2007, 31. doi: 10.1088/1126-6708/2007/11/031

Abstract

In the Script N = 4 super Yang-Mills theory, we consider the higher order anomalous dimensions γL(g) of purely gluonic operators Tr Script FL where Script F is a component of the self-dual field strength. We propose compact closed expressions depending parametrically on L that reproduce the prediction of Bethe Ansatz equations up to five loop order, including transcendental dressing corrections. The size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators.