Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography
Entity
UAM. Departamento de Física TeóricaPublisher
SpringerDate
2022-03-02Citation
10.1007/JHEP03(2022)015
Journal of High Energy Physics (JHEP) 2022.3 (2022): 15
ISSN
1126-6708 (print); 1029-8479 (online)DOI
10.1007/JHEP03(2022)015Funded by
M.A. is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Grant No. 406235073 within the Heisenberg program. D.A. and S. Grieninger are supported by the ‘Atracción de Talento’ program (2017-T1/TIC-5258, Comunidad de Madrid) and through the grants SEV-2016-0597 and PGC2018-095976-B-C21. M.B. acknowledges the support of the Shanghai Municipal Science and Technology Major Project (Grant No.2019SHZDZX01). The work of S. Gray is funded by the Deutsche Forschungsgemeinschaft (DFG) under Grant No. 406116891 within the Research Training Group RTG 2522/1Project
Gobierno de España. SEV-2016-0597; Gobierno de España. PGC2018-095976-B-C21Editor's Version
https://doi.org/10.1007/JHEP03(2022)015Subjects
AdS-CFT Correspondence; Gauge-Gravity Correspondence; Global Symmetries; Holography and Condensed Matter Physics (AdS/CMT); FísicaRights
© 2022, The Author(s)Abstract
We investigate the low-energy dynamics of systems with pseudo-spontaneously broken U(1) symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We consider two generalisations of the standard holographic superfluid model by adding an explicit breaking of the U(1) symmetry by either sourcing the charged bulk scalar or by introducing an explicit mass term for the bulk gauge field. We find agreement between the hydrodynamic dispersion relations and the quasi-normal modes of both holographic models. We verify that phase relaxation arises only due to the breaking of the inherent Goldstone shift symmetry. The interplay of a weak explicit breaking of the U(1) and phase relaxation renders the DC electric conductivity finite but does not result in a Drude-like peak. In this scenario we show the validity of a universal relation, found in the context of translational symmetry breaking, between the phase relaxation rate, the mass of the pseudo-Goldstone and the Goldstone diffusivity
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Google Scholar:Ammon, Martin
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Areán Fraga, Daniel
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Baggioli, Matteo
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Gray, Seán
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Grieninger, Sebastian Leonard
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