Simplest phonons and pseudo-phonons in field theory

Simplest phonons and pseudo-phonons in field theory

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 an...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2019-12, Vol.79 (12), p.1-11, Article 986
1. Verfasser: Musso, Daniele
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Breaking
Elementary Particles
Field theory
Hadrons
Heavy Ions
Lattices
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Order parameters
Outerwear
Phonons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
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Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7498-5