Renormalization and conformal invariance of non-local quantum electrodynamics

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 confor...

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Main Authors: Matthew Heydeman, Christian B. Jepsen, Ziming Ji, Amos Yarom
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2020)007
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author Matthew Heydeman
Christian B. Jepsen
Ziming Ji
Amos Yarom
author_facet Matthew Heydeman
Christian B. Jepsen
Ziming Ji
Amos Yarom
author_sort Matthew Heydeman
collection DOAJ
description 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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spelling doaj.art-cad17f2f7f924c81a0f4d952a18da7e42022-12-22T00:08:49ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020813910.1007/JHEP08(2020)007Renormalization and conformal invariance of non-local quantum electrodynamicsMatthew Heydeman0Christian B. Jepsen1Ziming Ji2Amos Yarom3Joseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityDepartment of Physics, TechnionAbstract 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.http://link.springer.com/article/10.1007/JHEP08(2020)007Conformal Field TheoryRenormalization Group
spellingShingle Matthew Heydeman
Christian B. Jepsen
Ziming Ji
Amos Yarom
Renormalization and conformal invariance of non-local quantum electrodynamics
Journal of High Energy Physics
Conformal Field Theory
Renormalization Group
title Renormalization and conformal invariance of non-local quantum electrodynamics
title_full Renormalization and conformal invariance of non-local quantum electrodynamics
title_fullStr Renormalization and conformal invariance of non-local quantum electrodynamics
title_full_unstemmed Renormalization and conformal invariance of non-local quantum electrodynamics
title_short Renormalization and conformal invariance of non-local quantum electrodynamics
title_sort renormalization and conformal invariance of non local quantum electrodynamics
topic Conformal Field Theory
Renormalization Group
url http://link.springer.com/article/10.1007/JHEP08(2020)007
work_keys_str_mv AT matthewheydeman renormalizationandconformalinvarianceofnonlocalquantumelectrodynamics
AT christianbjepsen renormalizationandconformalinvarianceofnonlocalquantumelectrodynamics
AT zimingji renormalizationandconformalinvarianceofnonlocalquantumelectrodynamics
AT amosyarom renormalizationandconformalinvarianceofnonlocalquantumelectrodynamics