About: Spontaneous breaking of continuous translational invariance

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Description	Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework that allows us to treat translational invariance on the same footing as other symmetries. It is shown that existing theorems on SSB can be straightforwardly extended to this general case. As a concrete application, we analyze the Nambu-Goldstone modes in a (ferromagnetic) supersolid. We prove on the ground of the general theorems that the Bogoliubov mode stemming from a spontaneously broken internal U(1) symmetry and the longitudinal phonon due to a crystalline order are distinct physical modes. Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework that allows us to treat translational invariance on the same footing as other symmetries. It is shown that existing theorems on SSB can be straightforwardly extended to this general case. As a concrete application, we analyze the Nambu-Goldstone modes in a (ferromagnetic) supersolid. We prove on the ground of the general theorems that the Bogoliubov mode stemming from a spontaneously broken internal U(1) symmetry and the longitudinal phonon due to a crystalline order are distinct physical modes. (en)
Title	Spontaneous breaking of continuous translational invariance Spontaneous breaking of continuous translational invariance (en)
skos:prefLabel	Spontaneous breaking of continuous translational invariance Spontaneous breaking of continuous translational invariance (en)
skos:notation	RIV/61389005:_____/12:00384810!RIV13-AV0-61389005
http://linked.open...avai/predkladatel	Ústav jaderné fyziky AV ČR, v.v.i.
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Brauner, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	170557
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/12:00384810
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	spontaneous symmetry breaking; Nambu-Goldstone boson; supersolid (en)
http://linked.open.../riv/klicoveSlovo	Nambu-Goldstone boson spontaneous symmetry breaking supersolid
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[24BB20C52111]
http://linked.open...i/riv/nazevZdroje	Physical Review D: Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	85
http://linked.open...iv/tvurceVysledku	Brauner, Tomáš Watanabe, H.
http://linked.open...ain/vavai/riv/wos	000302407900004
issn	1550-7998
number of pages	14 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Spontaneous breaking of continuous translational invariance

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