Transverse Goldstone mode in holographic fluids with broken translations

In this paper we investigate the low energy shear modes in fluid systems with spontaneously broken translations by a specific holographic model. In absence of momentum relaxation, we find that there exist two decoupled gapless modes in the transverse channel, one of which is purely diffusive and the...

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Published inThe European physical journal. C, Particles and fields Vol. 82; no. 6; pp. 1 - 9
Main Authors Zhong, Yuan-Yuan, Li, Wei-Jia
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
Springer
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Black holes
Broken symmetry
Elementary Particles
Fluids
Hadrons
Heavy Ions
Holography
Measurement Science and Instrumentation
Momentum
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Symmetry
Theoretical physics
Translations
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Summary:In this paper we investigate the low energy shear modes in fluid systems with spontaneously broken translations by a specific holographic model. In absence of momentum relaxation, we find that there exist two decoupled gapless modes in the transverse channel, one of which is purely diffusive and the other corresponds to vortex like excitations. The diffusive mode is associated with the conservation of momentum and the vortex mode can be viewed as the Goldstone mode of the spontaneous symmetry breaking. Switching on an external source which breaks the translations explicitly but weakly, the would-be gapless modes both get relaxed and acquire a tiny mass gap. Finally, in the strong momentum relaxation regime, we find a (pseudo-)diffusive-to-sound crossover that is set by a momentum gap.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-10430-w