A Note on Dual MHV Diagrams in N=4 SYM

TL;DR

This paper explores dual momentum space Feynman rules in N=4 SYM, demonstrating their equivalence to standard MHV rules and their interpretation as Wilson loop diagrams, providing a new perspective on perturbative calculations.

Contribution

It introduces explicit dual momentum space Feynman rules that are equivalent to traditional MHV rules and can be viewed as their graph dual, enhancing understanding of Wilson loop diagrams.

Findings

Dual momentum space Feynman rules are equivalent to spacetime MHV rules.

These rules can be interpreted as Wilson loop diagrams in dual momentum space.

The new rules provide a dual perspective on perturbative expansions.

Abstract

Recently a reformulation of the MHV diagram method in N=4 supersymmetric Yang-Mills theory in momentum twistor space was presented and was shown to be equivalent to the perturbative expansion of the expectation value of a supersymmetric Wilson loop in momentum twistor space. In this note we present related explicit Feynman rules in dual momentum space, which should have the interpretation of Wilson loop diagrams in dual momentum space. We show that these novel rules are completely equivalent to ordinary spacetime MHV rules and can be naturally viewed as their graph dual representation.