On Yangian-invariant regularization of deformed on-shell diagrams in N=4 super-Yang–Mills theory

2014/01/31 by Niklas Beisert, Johannes Broedel, Matteo Rosso · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Dimensional regularization #Invariant (physics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #Renormalization #Yangian #hep-th

paper · pdf · doi:10.1088/1751-8113/47/36/365402

published as J. Phys. A 47, 365402 (2014) · 32 pages; replaced with published version (updated abstract, minor corrections)

openalex publication_date 2014/08/21 · arxiv created 2014/08/26 · arxiv updated 2014/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We investigate Yangian invariance of deformed on-shell diagrams with D = 4, superconformal symmetry. We find that invariance implies a direct relationship between the deformation parameters and the permutation associated with the on-shell graph. We analyse the connection with deformations of scattering amplitudes in super-Yang–Mills theory and the possibility of using the deformation parameters as a regulator preserving Yangian invariance. A study of higher-point tree and loop graphs suggests that manifest Yangian invariance of the amplitude requires trivial deformation parameters.

Citations

• Total positivity, Grassmannians, and networks
• Exacting 𝒩 = 4 superconformal symmetry
• Yangians, Grassmannians and T-duality
• New recursion relations for tree amplitudes of gluons
• ON YANGIAN SYMMETRY IN PLANAR N = 4 SYM
• Perturbative Gauge Theory As A String Theory In Twistor Space

Cited by

• Deformed one-loop amplitudes in N = 4 N=4 super-Yang-Mills theory
• Nonplanar on-shell diagrams and leading singularities of scattering amplitudes