Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling

Understand

In this paper we consider a special kind of three-point functions of HHL type at weak coupling in N=4 SYM theory and analyze its volume dependence.

• At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik and Wereszczynski [1].
• The authors considered some cases of HHL correlator in the su(2) sector and, relying on their explicit results, formulated a conjecture about the form of the volume dependence of the symmetric HHL structure constant to be valid at any coupling up to wrapping corrections.
• In order to test this hypothesis we considered the HHL correlator in su(2) sector at weak coupling and directly showed that, up to one loop, the finite volume dependence has exactly the form proposed in [1].