Approximate symmetries and gravity

Abstract There are strong reasons to believe that global symmetries of quantum theories cannot be exact in the presence of gravity. While this has been argued at the qualitative level, establishing a quantitative statement is more challenging. In this work we take new steps towards quantifying symme...

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Main Authors: Sylvain Fichet, Prashant Saraswat
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)088
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author Sylvain Fichet
Prashant Saraswat
author_facet Sylvain Fichet
Prashant Saraswat
author_sort Sylvain Fichet
collection DOAJ
description Abstract There are strong reasons to believe that global symmetries of quantum theories cannot be exact in the presence of gravity. While this has been argued at the qualitative level, establishing a quantitative statement is more challenging. In this work we take new steps towards quantifying symmetry violation in EFTs with gravity. First, we evaluate global charge violation by microscopic black holes present in a thermal system, which represents an irreducible, universal effect at finite temperature. Second, based on general QFT considerations, we propose that local symmetry-violating processes should be faster than black hole-induced processes at any sub-Planckian temperature. Such a proposal can be seen as part of the “swampland” program to constrain EFTs emerging from quantum gravity. Considering an EFT perspective, we formulate a con- jecture which requires the existence of operators violating global symmetry and places quantitative bounds on them. We study the interplay of our conjecture with emergent symmetries in QFT. In models where gauged U(1)’s enforce accidental symmetries, we find that constraints from the Weak Gravity Conjecture can ensure that our conjecture is satisfied. We also study the consistency of the conjecture with QFT models of emergent symmetries such as extradimensional localization, the Froggatt-Nielsen mechanism, and the clockwork mechanism.
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spelling doaj-art-f471c2347d9e471bbed7a5714f85096a2025-01-26T12:11:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114410.1007/JHEP01(2020)088Approximate symmetries and gravitySylvain Fichet0Prashant Saraswat1Walter Burke Institute for Theoretical Physics, California Institute of TechnologyWalter Burke Institute for Theoretical Physics, California Institute of TechnologyAbstract There are strong reasons to believe that global symmetries of quantum theories cannot be exact in the presence of gravity. While this has been argued at the qualitative level, establishing a quantitative statement is more challenging. In this work we take new steps towards quantifying symmetry violation in EFTs with gravity. First, we evaluate global charge violation by microscopic black holes present in a thermal system, which represents an irreducible, universal effect at finite temperature. Second, based on general QFT considerations, we propose that local symmetry-violating processes should be faster than black hole-induced processes at any sub-Planckian temperature. Such a proposal can be seen as part of the “swampland” program to constrain EFTs emerging from quantum gravity. Considering an EFT perspective, we formulate a con- jecture which requires the existence of operators violating global symmetry and places quantitative bounds on them. We study the interplay of our conjecture with emergent symmetries in QFT. In models where gauged U(1)’s enforce accidental symmetries, we find that constraints from the Weak Gravity Conjecture can ensure that our conjecture is satisfied. We also study the consistency of the conjecture with QFT models of emergent symmetries such as extradimensional localization, the Froggatt-Nielsen mechanism, and the clockwork mechanism.https://doi.org/10.1007/JHEP01(2020)088Effective Field TheoriesGlobal SymmetriesBlack Holes
spellingShingle Sylvain Fichet
Prashant Saraswat
Approximate symmetries and gravity
Journal of High Energy Physics
Effective Field Theories
Global Symmetries
Black Holes
title Approximate symmetries and gravity
title_full Approximate symmetries and gravity
title_fullStr Approximate symmetries and gravity
title_full_unstemmed Approximate symmetries and gravity
title_short Approximate symmetries and gravity
title_sort approximate symmetries and gravity
topic Effective Field Theories
Global Symmetries
Black Holes
url https://doi.org/10.1007/JHEP01(2020)088
work_keys_str_mv AT sylvainfichet approximatesymmetriesandgravity
AT prashantsaraswat approximatesymmetriesandgravity