Simplest phonons and pseudo-phonons in field theory
arXiv:1810.01799 · doi:10.1140/epjc/s10052-019-7498-5
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.
25 pages, 1 figure; (v3 extended analysis, typo fixed)
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