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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Format: | Article |
Language: | English |
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SpringerOpen
2020-08-01
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Series: | Journal of High Energy Physics |
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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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format | Article |
id | doaj.art-cad17f2f7f924c81a0f4d952a18da7e4 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-12T23:00:53Z |
publishDate | 2020-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |