Spontaneous breaking of continuous translational invariance

Watanabe H, Brauner T (2012)
Physical Review D 85(8): 085010.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Watanabe, Haruki; Brauner, TomásUniBi
Abstract / Bemerkung
Unbroken continuous translational invariance is often taken as a basicassumption in discussions of spontaneous symmetry breaking (SSB), which singlesout SSB of translational invariance itself as an exceptional case. We present aframework which allows us to treat translational invariance on the same footingas other symmetries. It is shown that existing theorems on SSB can bestraightforwardly extended to this general case. As a concrete application, weanalyze the Nambu-Goldstone modes in a (ferromagnetic) supersolid. We prove onthe ground of the general theorems that the Bogoliubov mode stemming from aspontaneously broken internal U(1) symmetry and the longitudinal phonon due toa crystalline order are distinct physical modes.
Erscheinungsjahr
2012
Zeitschriftentitel
Physical Review D
Band
85
Ausgabe
8
Art.-Nr.
085010
ISSN
1550-7998
eISSN
1550-2368
Page URI
https://pub.uni-bielefeld.de/record/2465939

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Watanabe H, Brauner T. Spontaneous breaking of continuous translational invariance. Physical Review D. 2012;85(8): 085010.
Watanabe, H., & Brauner, T. (2012). Spontaneous breaking of continuous translational invariance. Physical Review D, 85(8), 085010. doi:10.1103/PhysRevD.85.085010
Watanabe, H., and Brauner, T. (2012). Spontaneous breaking of continuous translational invariance. Physical Review D 85:085010.
Watanabe, H., & Brauner, T., 2012. Spontaneous breaking of continuous translational invariance. Physical Review D, 85(8): 085010.
H. Watanabe and T. Brauner, “Spontaneous breaking of continuous translational invariance”, Physical Review D, vol. 85, 2012, : 085010.
Watanabe, H., Brauner, T.: Spontaneous breaking of continuous translational invariance. Physical Review D. 85, : 085010 (2012).
Watanabe, Haruki, and Brauner, Tomás. “Spontaneous breaking of continuous translational invariance”. Physical Review D 85.8 (2012): 085010.

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arXiv: 1112.3890

Inspire: 1081764

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