Spontaneous breaking of continuous translational invariance

@article{Watanabe2012SpontaneousBO,
  title={Spontaneous breaking of continuous translational invariance},
  author={H. Watanabe and T. Brauner},
  journal={Physical Review D},
  year={2012},
  volume={85},
  pages={085010}
}
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… Expand
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SHOWING 1-10 OF 64 REFERENCES
Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
  • 99
  • PDF
Nonrelativistic effective Lagrangians.
  • Leutwyler
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1994
  • 120
  • PDF
Effective lagrangian and topological interactions in supersolids.
  • D. Son
  • Physics, Medicine
  • Physical review letters
  • 2005
  • 57
  • PDF
Phonons as goldstone bosons
  • 84
  • PDF
Elementary excitation in a supersolid
  • 14
Tkachenko modes of vortex lattices in rapidly rotating bose-einstein condensates.
  • G. Baym
  • Physics, Medicine
  • Physical review letters
  • 2003
  • 51
  • PDF
...
1
2
3
4
5
...