2020/03/17 by Matthew Heydeman, Christian B. Jepsen, Ziming Ji +1 · 19 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal map #Conformal symmetry #Flow (mathematics) #Functional renormalization group #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena #Renormalization #Renormalization group #Scale invariance #Unitarity #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep08(2020)007
published in Journal of High Energy Physics 2020(8) (Springer Nature) · 39 pages, 1 figure
arxiv created 2020/03/17 · openalex created_date 2020/03/23 · openalex publication_date 2020/08/04 · arxiv updated 2020/08/26 · openalex updated_date 2026/08/05
A bstract 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.