Spontaneous breaking of continuous translational invariance

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

Journal Article | Published | English

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