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arXiv · 1402.6826

Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries

Michikazu Kobayashi·Muneto Nitta
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Abstract

We show that a momentum operator of a translational symmetry may not commute with an internal symmetry operator in the presence of a topological soliton in non-relativistic theories. As a striking consequence, there appears a coupled Nambu-Goldstone mode with a quadratic dispersion consisting of translational and internal zero modes in the vicinity of a domain wall in an O(3) sigma model, a magnetic domain wall in ferromagnets with an easy axis.

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Michikazu Kobayashi, Muneto Nitta. 2014-09-20. Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries. https://doi.org/10.1103/physrevlett.113.120403

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