Simplest phonons and pseudo-phonons in field theory
High Energy Physics - Theory
2020-01-08 v3 Strongly Correlated Electrons
Abstract
We study the emergence of Nambu-Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices.
Keywords
Cite
@article{arxiv.1810.01799,
title = {Simplest phonons and pseudo-phonons in field theory},
author = {Daniele Musso},
journal= {arXiv preprint arXiv:1810.01799},
year = {2020}
}
Comments
25 pages, 1 figure; (v3 extended analysis, typo fixed)