Phonons as Goldstone Bosons. Leutwyler, H. Helv. Phys. Acta, 70:275–286, 1996.
Phonons as Goldstone Bosons [link]Paper  abstract   bibtex   
The implications of the hidden, spontaneously broken symmetry for the properties of the sound waves of a solid are analyzed. Although the discussion does not go beyond standard wisdom, it presents some of the known results from a different perspective. In particular, I argue that, as a consequence of the hidden symmetry, the equations of motion for a sound wave necessarily contain nonlinear terms, describing phonon-phonon scattering and emphasize the analogy with the low energy theorems for pion-pion scattering.
@article{leutwyler_phonons_1997,
abstract = {The implications of the hidden, spontaneously broken symmetry for the properties of the sound waves of a solid are analyzed. Although the discussion does not go beyond standard wisdom, it presents some of the known results from a different perspective. In particular, I argue that, as a consequence of the hidden symmetry, the equations of motion for a sound wave necessarily contain nonlinear terms, describing phonon-phonon scattering and emphasize the analogy with the low energy theorems for pion-pion scattering.},
annote = {\_eprint: hep-ph/9609466},
archivePrefix = {arXiv},
arxivId = {hep-ph/9609466},
author = {Leutwyler, H.},
eprint = {9609466},
journal = {Helv. Phys. Acta},
pages = {275--286},
primaryClass = {hep-ph},
title = {{Phonons as Goldstone Bosons}},
url = {http://arxiv.org/abs/hep-ph/9609466},
volume = {70},
year = {1996}
}

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