Anomalous Ward identities for on-shell amplitudes at the conformal fixed point
From MaRDI portal
Publication:6176372
DOI10.1007/JHEP06(2023)110arXiv2207.12249OpenAlexW4293113695MaRDI QIDQ6176372
Author name not available (Why is that?)
Publication date: 25 July 2023
Published in: (Search for Journal in Brave)
Abstract: Conformal symmetry underlies many massless quantum field theories, but little is known about the consequences of this powerful symmetry for on-shell scattering amplitudes. Working in a dimensionally-regularised model at the conformal fixed point, we show that the on-shell renormalised amplitudes satisfy anomalous conformal Ward identities. Each external on-shell state contributes two terms to the anomaly. The first term is proportional to the elementary field anomalous dimension, and thus involves only lower-loop information. We show that the second term can be given as the convolution of a universal collinear function and lower-order amplitudes. The computation of the conformal anomaly is therefore simpler than that of the amplitude at the same perturbative order, which gives our anomalous conformal Ward identities a strong predictive power in perturbation theory. Finally, we show that our result is also of practical importance for dimensionally-regularised amplitudes away from the conformal fixed point.
Full work available at URL: https://arxiv.org/abs/2207.12249
No records found.
No records found.
This page was built for publication: Anomalous Ward identities for on-shell amplitudes at the conformal fixed point
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6176372)
