Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory

TL;DR

This paper demonstrates how MHV diagrams can be used to compute the one-loop dilatation operator in N=4 super Yang-Mills theory, simplifying the calculation to a single diagram and extending the method's application to off-shell quantities.

Contribution

It is the first to apply MHV diagrams to an off-shell quantity, specifically the one-loop dilatation operator in N=4 SYM, showing a new computational approach.

Findings

Calculation reduces to a single MHV diagram in dimensional regularisation.

First application of MHV diagrams to an off-shell quantity.

Method offers potential for broader applications in quantum field theory.

Abstract

We apply MHV diagrams to the derivation of the one-loop dilatation operator of N=4 super Yang-Mills in the SO(6) sector. We find that in this approach the calculation reduces to the evaluation of a single MHV diagram in dimensional regularisation. This provides the first application of MHV diagrams to an off-shell quantity. We also discuss other applications of the method and future directions.