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Renormalization and conformal invariance of non-local quantum electrodynamics

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arxiv 2003.07895 v1 pith:3II4IDOX submitted 2020-03-17 hep-th cond-mat.str-el

Matthew Heydeman , Christian B. Jepsen , Ziming Ji , Amos Yarom This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords non-localconformalelectrodynamicsinvariancequantumrenormalizationtheoriestheory
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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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  1. A Nonlocal Schwinger Model

    hep-th 2024-12 accept novelty 7.0 of 10

    For 2<d<4, 2D massless fermions coupled to a d-dimensional Maxwell field are exactly described by a scalar whose scaling dimension runs from 0 in the UV to (4-d)/2 in the IR.

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