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arXiv · 2003.07895

Renormalization and conformal invariance of non-local quantum electrodynamics

Matthew Heydeman·Christian B. Jepsen·Ziming Ji·Amos Yarom
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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.

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Matthew Heydeman, Christian B. Jepsen, Ziming Ji, Amos Yarom. 2020-03-17. Renormalization and conformal invariance of non-local quantum electrodynamics. https://doi.org/10.1007/jhep08(2020)007

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