Equivariant neural networks support Goldstone-like modes enabling coherent information propagation across depth and recurrent iterations.
Phonons as Goldstone Bosons
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
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.
representative citing papers
The boson peak arises from accumulation of vibrational spectral weight in a narrow frequency window that is only weakly dependent on wavevector, manifesting as a flat band in the dynamical structure factor rather than a propagating excitation.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
citing papers explorer
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Spontaneous symmetry breaking and Goldstone modes for deep information propagation
Equivariant neural networks support Goldstone-like modes enabling coherent information propagation across depth and recurrent iterations.
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A flat-band perspective on the boson peak in amorphous solids
The boson peak arises from accumulation of vibrational spectral weight in a narrow frequency window that is only weakly dependent on wavevector, manifesting as a flat band in the dynamical structure factor rather than a propagating excitation.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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Minimal superfluid vortices in chiral perturbation theory
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.