Symmetric superfluids

Abstract We present a complete classification of symmetric superfluids, namely shift-symmetric and Poincaré invariant scalar field theories that have an enlarged set of classically conserved currents at leading order in derivatives. These theories arise in the decoupling limit of the effective field...

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Main Authors: Enrico Pajer, David Stefanyszyn
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2019)008
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author Enrico Pajer
David Stefanyszyn
author_facet Enrico Pajer
David Stefanyszyn
author_sort Enrico Pajer
collection DOAJ
description Abstract We present a complete classification of symmetric superfluids, namely shift-symmetric and Poincaré invariant scalar field theories that have an enlarged set of classically conserved currents at leading order in derivatives. These theories arise in the decoupling limit of the effective field theory of shift-symmetric, single-clock cosmologies and our results pick out all models with couplings fixed by additional symmetry. Remarkably, in D ≥ 2 spacetime dimensions there are only two possibilities: the Dirac-Born-Infeld theory and Scaling Superfluids with Lagrangian (−∂ μ ϕ∂ μ ϕ) α , for some real α. The scaling symmetry present for any α is further enhanced to the full conformal group only for α = D/2, and to infinitely many additional generators for the cuscuton, namely α = 1/2. We discuss the stability of Scaling Superfluids and point out that all coupling constants are determined by the speed of sound.
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spelling doaj.art-ecac7b3bae20467582c1290b34c204f92022-12-22T02:38:47ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019612510.1007/JHEP06(2019)008Symmetric superfluidsEnrico Pajer0David Stefanyszyn1DAMTP, Centre for Mathematical Sciences, University of CambridgeVan Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract We present a complete classification of symmetric superfluids, namely shift-symmetric and Poincaré invariant scalar field theories that have an enlarged set of classically conserved currents at leading order in derivatives. These theories arise in the decoupling limit of the effective field theory of shift-symmetric, single-clock cosmologies and our results pick out all models with couplings fixed by additional symmetry. Remarkably, in D ≥ 2 spacetime dimensions there are only two possibilities: the Dirac-Born-Infeld theory and Scaling Superfluids with Lagrangian (−∂ μ ϕ∂ μ ϕ) α , for some real α. The scaling symmetry present for any α is further enhanced to the full conformal group only for α = D/2, and to infinitely many additional generators for the cuscuton, namely α = 1/2. We discuss the stability of Scaling Superfluids and point out that all coupling constants are determined by the speed of sound.http://link.springer.com/article/10.1007/JHEP06(2019)008Effective Field TheoriesGlobal SymmetriesSpace-Time Symmetries
spellingShingle Enrico Pajer
David Stefanyszyn
Symmetric superfluids
Journal of High Energy Physics
Effective Field Theories
Global Symmetries
Space-Time Symmetries
title Symmetric superfluids
title_full Symmetric superfluids
title_fullStr Symmetric superfluids
title_full_unstemmed Symmetric superfluids
title_short Symmetric superfluids
title_sort symmetric superfluids
topic Effective Field Theories
Global Symmetries
Space-Time Symmetries
url http://link.springer.com/article/10.1007/JHEP06(2019)008
work_keys_str_mv AT enricopajer symmetricsuperfluids
AT davidstefanyszyn symmetricsuperfluids