Covert symmetry breaking

Abstract Reduction from a higher-dimensional to a lower-dimensional field theory can display special features when the zero-level ground state has nontrivial dependence on the reduction coordinates. In particular, a delayed ‘covert’ form of spontaneous symmetry breaking can occur, revealing itself o...

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Main Authors: C. W. Erickson, A. D. Harrold, Rahim Leung, K. S. Stelle
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2020)157
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author C. W. Erickson
A. D. Harrold
Rahim Leung
K. S. Stelle
author_facet C. W. Erickson
A. D. Harrold
Rahim Leung
K. S. Stelle
author_sort C. W. Erickson
collection DOAJ
description Abstract Reduction from a higher-dimensional to a lower-dimensional field theory can display special features when the zero-level ground state has nontrivial dependence on the reduction coordinates. In particular, a delayed ‘covert’ form of spontaneous symmetry breaking can occur, revealing itself only at fourth order in the lower-dimensional effective field theory action. This phenomenon is explored in a simple model of (d + 1)-dimensional scalar QED with one dimension restricted to an interval with Dirichlet/Robin boundary conditions on opposing ends. This produces an effective d-dimensional theory with Maxwellian dynamics at the free theory level, but with unusual symmetry breaking appearing in the quartic vector-scalar interaction terms. This simple model is chosen to illuminate the mechanism of effects which are also noted in gravitational braneworld scenarios.
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spelling doaj.art-f8fe44e5bda043cbb727f27d26d1a35c2022-12-21T23:36:27ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201012610.1007/JHEP10(2020)157Covert symmetry breakingC. W. Erickson0A. D. Harrold1Rahim Leung2K. S. Stelle3The Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonAbstract Reduction from a higher-dimensional to a lower-dimensional field theory can display special features when the zero-level ground state has nontrivial dependence on the reduction coordinates. In particular, a delayed ‘covert’ form of spontaneous symmetry breaking can occur, revealing itself only at fourth order in the lower-dimensional effective field theory action. This phenomenon is explored in a simple model of (d + 1)-dimensional scalar QED with one dimension restricted to an interval with Dirichlet/Robin boundary conditions on opposing ends. This produces an effective d-dimensional theory with Maxwellian dynamics at the free theory level, but with unusual symmetry breaking appearing in the quartic vector-scalar interaction terms. This simple model is chosen to illuminate the mechanism of effects which are also noted in gravitational braneworld scenarios.http://link.springer.com/article/10.1007/JHEP10(2020)157Brane Dynamics in Gauge TheoriesEffective Field TheoriesGauge SymmetrySpontaneous Symmetry Breaking
spellingShingle C. W. Erickson
A. D. Harrold
Rahim Leung
K. S. Stelle
Covert symmetry breaking
Journal of High Energy Physics
Brane Dynamics in Gauge Theories
Effective Field Theories
Gauge Symmetry
Spontaneous Symmetry Breaking
title Covert symmetry breaking
title_full Covert symmetry breaking
title_fullStr Covert symmetry breaking
title_full_unstemmed Covert symmetry breaking
title_short Covert symmetry breaking
title_sort covert symmetry breaking
topic Brane Dynamics in Gauge Theories
Effective Field Theories
Gauge Symmetry
Spontaneous Symmetry Breaking
url http://link.springer.com/article/10.1007/JHEP10(2020)157
work_keys_str_mv AT cwerickson covertsymmetrybreaking
AT adharrold covertsymmetrybreaking
AT rahimleung covertsymmetrybreaking
AT ksstelle covertsymmetrybreaking