Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 79, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-019-7498-5
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Funding
- Xunta de Galicia [FPA2014-52218-P, FPA2017-84436-P, GRC2013-024]
- FEDER
- Maria de Maeztu Unit of Excellence [MDM-2016-0692]
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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.
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