English

Renormalization and conformal invariance of non-local quantum electrodynamics

High Energy Physics - Theory 2020-08-26 v1 Strongly Correlated Electrons

Abstract

We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In addition, we find that there exist non-local conformal theories with a one-dimensional conformal manifold and non-local deformations of QED in three dimensions that are exactly marginal. Along the way we develop methods for coupling non-local derivatives to external sources and discuss unitarity and conformal vs. scale invariance of these theories.

Keywords

Cite

@article{arxiv.2003.07895,
  title  = {Renormalization and conformal invariance of non-local quantum electrodynamics},
  author = {Matthew Heydeman and Christian B. Jepsen and Ziming Ji and Amos Yarom},
  journal= {arXiv preprint arXiv:2003.07895},
  year   = {2020}
}

Comments

39 pages, 1 figure