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Nambu-Goldstone bosons with fractional-power dispersion relations

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arxiv 1403.3365 v2 pith:XI2L3CFN submitted 2014-03-13 hep-th cond-mat.otherhep-ph

Haruki Watanabe , Hitoshi Murayama This is my paper · ORCID
classification hep-thcond-mat.otherhep-ph
keywords dispersionrelationripplonanalogybosonsbulkcrystaldomain
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abstract

We pin down the origin of a peculiar dispersion relation of domain wall fluctuation, the so-called ripplon, in a superfluid-superfluid interface. A ripplon has a dispersion relation $\omega\propto k^{3/2}$ due to the nonlocality of the effective Lagrangian, which is mediated by gapless superfluid phonons in the bulk. We point out the analogy to the longitudinal phonon in the two-dimensional Wigner crystal.

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  1. An Introduction to Spontaneous Symmetry Breaking

    hep-th 2019-09 accept novelty 1.0 of 10

    A comprehensive review that frames spontaneous symmetry breaking through singular limits and stable broken-symmetry states, suitable for graduate teaching.

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