On Scale and Conformal Invariance in Four Dimensions
High Energy Physics - Theory
2020-06-11 v1
Abstract
We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.
Cite
@article{arxiv.1309.2921,
title = {On Scale and Conformal Invariance in Four Dimensions},
author = {Anatoly Dymarsky and Zohar Komargodski and Adam Schwimmer and Stefan Theisen},
journal= {arXiv preprint arXiv:1309.2921},
year = {2020}
}