Anomalous dimensions in N=4 SYM theory at order g^4

TL;DR

This paper calculates four-point functions in N=4 SYM at order g^4, confirming the link between short-distance logs and anomalous dimensions, and providing the two-loop correction for the Konishi multiplet.

Contribution

It introduces a two-loop calculation of anomalous dimensions in N=4 SYM using superfield formalism, advancing understanding of operator scaling behaviors.

Findings

Confirmed the interpretation of short-distance logarithms as anomalous dimensions.

Computed the two-loop anomalous dimension of the Konishi supermultiplet.

Validated the superfield approach for higher-order calculations.

Abstract

We compute four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators exchanged in the intermediate channels and we determine the two-loop contribution to the anomalous dimension of the N=4 Konishi supermultiplet.