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

arXiv comment1+8 pages. v2: one reference added, minor changes, version accepted for publication in PRL

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Cited by in corpus (8)

• Renormalization group coefficients and the S-matrix
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• The SU(2|3) dynamic two-loop form factors
• Integrability and unitarity
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• On Yangian symmetry of scattering amplitudes and the dilatation operator in N=4 super Yang-Mills
• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD