2015/06/30 by Rouven Frassek, David Meidinger, Dhritiman Nandan +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep01(2016)182
published as JHEP 1601 (2016) 182 · 44 pages, several figures; v2: References added, typos corrected, formulations clarified, 46 pages; v3: Conventions clarified, matches published version
openalex publication_date 2016/01/01 · arxiv created 2016/02/01 · arxiv updated 2016/02/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4 SYM theory to tree-level form factors of this theory. Focussing on the colour-ordered super form factors of the chiral part of the stress-tensor multiplet as an example, we show how to systematically construct on-shell diagrams for these form factors with the minimal form factor as further building block in addition to the three-point amplitudes. Moreover, we obtain analytic representations in terms of Graßmannian integrals in spinor helicity, twistor and momentum twistor variables. While Yangian invariance is broken by the operator insertion, we find that the form factors are eigenstates of the integrable spin-chain transfer matrix built from the monodromy matrix that yields the Yangian generators. Constructing them via the method of R operators allows to introduce deformations that preserve the integrable structure. We finally show that the integrable properties extend to minimal tree-level form factors of generic composite operators as well as certain leading singularities of their n-point loop-level form factors.