Higgs effect without lunch
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Published version
Author(s)
Erickson, CW
Leung, Rahim
Stelle, KS
Type
Journal Article
Abstract
Reduction in effective spacetime dimensionality can occur in field-theory
models more general than the widely studied dimensional reductions based on
technically consistent truncations. Situations where wavefunction factors
depend nontrivially on coordinates transverse to the effective lower dimension
can give rise to unusual patterns of gauge symmetry breaking. Leading-order
gauge modes can be left massless, but naturally occurring Stueckelberg modes
can couple importantly at quartic order and higher, thus generating a "covert"
pattern of gauge symmetry breaking. Such a situation is illustrated in a
five-dimensional model of scalar electrodynamics in which one spatial dimension
is taken to be an interval with Dirichlet/Robin boundary conditions on opposing
ends. This simple model illuminates a mechanism which also has been found in
gravitational braneworld scenarios.
models more general than the widely studied dimensional reductions based on
technically consistent truncations. Situations where wavefunction factors
depend nontrivially on coordinates transverse to the effective lower dimension
can give rise to unusual patterns of gauge symmetry breaking. Leading-order
gauge modes can be left massless, but naturally occurring Stueckelberg modes
can couple importantly at quartic order and higher, thus generating a "covert"
pattern of gauge symmetry breaking. Such a situation is illustrated in a
five-dimensional model of scalar electrodynamics in which one spatial dimension
is taken to be an interval with Dirichlet/Robin boundary conditions on opposing
ends. This simple model illuminates a mechanism which also has been found in
gravitational braneworld scenarios.
Date Issued
2022-08-22
Date Acceptance
2022-02-23
Citation
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022, 380 (2230)
ISSN
1364-503X
Publisher
The Royal Society
Journal / Book Title
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume
380
Issue
2230
Copyright Statement
© 2022 The Authors.
Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
License URL
Identifier
http://arxiv.org/abs/2202.00017v1
Subjects
hep-th
hep-th
Notes
17 pages. Contribution to "The Future of Mathematical Cosmology", Philosophical Transactions A
Publication Status
Published
Date Publish Online
2022-07-04