Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries
High Energy Physics - Theory
2014-09-24 v3 Materials Science
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1402.6826,
title = {Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries},
author = {Michikazu Kobayashi and Muneto Nitta},
journal= {arXiv preprint arXiv:1402.6826},
year = {2014}
}
Comments
13 pages (including Supplemental Material), 1 figure, 3 mpg files (relativistic NG modes for translation and phase, and coupled type-II NG mode), v2: the same text, mpg files added, v3: added discussion on interpolation between relativistic and non-relativistic NG modes, published version