Phonons are cast as a first-order Lagrangian field theory on an associated torus bundle with a flat connection, where the covariant differential of the translational section locally recovers the displacement gradient and yields the standard acoustic phonon spectrum upon linearization.
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A Bundle-Theoretic Formulation of Phonons in Crystalline Phases
Phonons are cast as a first-order Lagrangian field theory on an associated torus bundle with a flat connection, where the covariant differential of the translational section locally recovers the displacement gradient and yields the standard acoustic phonon spectrum upon linearization.