Simplest phonons and pseudo-phonons in field theory

Simplest phonons and pseudo-phonons in field theory

Abstract We study the emergence of Nambu–Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relatio...

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Main Author: Daniele Musso
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-019-7498-5
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spelling doaj-2413e23ef47d43648b3d36cc4b7c590a2020-12-06T12:49:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-12-01791211110.1140/epjc/s10052-019-7498-5Simplest phonons and pseudo-phonons in field theoryDaniele Musso0Universidad de Santiago de Compostela (USC)Abstract We study the emergence of Nambu–Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices.https://doi.org/10.1140/epjc/s10052-019-7498-5
collection DOAJ
language English
format Article
sources DOAJ
author Daniele Musso
spellingShingle Daniele Musso
Simplest phonons and pseudo-phonons in field theory
European Physical Journal C: Particles and Fields
author_facet Daniele Musso
author_sort Daniele Musso
title Simplest phonons and pseudo-phonons in field theory
title_short Simplest phonons and pseudo-phonons in field theory
title_full Simplest phonons and pseudo-phonons in field theory
title_fullStr Simplest phonons and pseudo-phonons in field theory
title_full_unstemmed Simplest phonons and pseudo-phonons in field theory
title_sort simplest phonons and pseudo-phonons in field theory
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2019-12-01
description Abstract We study the emergence of Nambu–Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices.
url https://doi.org/10.1140/epjc/s10052-019-7498-5
work_keys_str_mv AT danielemusso simplestphononsandpseudophononsinfieldtheory
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