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Renormalization and conformal invariance of non-local quantum electrodynamics

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.

preprint2020arXivOpen access
Matthew HeydemanChristian B. JepsenZiming JiAmos Yarom
cond-mat.str-elhep-th
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Open access4 authors2 topics
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Matthew HeydemanChristian B. JepsenZiming JiAmos Yarom

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