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Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
- Source :
- J. High Energ. Phys. 2023, 206 (2023)
- Publication Year :
- 2023
-
Abstract
- The holographic superconductor is one of the most popular models in the context of applied holography. Despite what its name suggests, it does not describe a superconductor. On the contrary, the low temperature phase of its dual field theory is a superfluid with a spontaneously broken U(1) global symmetry. As already observed in the previous literature, a bona fide holographic superconductor can be constructed using mixed boundary conditions for the bulk gauge field. By exploiting this prescription, we study the near-equilibrium collective dynamics in the Higgs phase and reveal the characteristic features of the Anderson-Higgs mechanism. We show that second sound disappears from the spectrum and the gauge field acquires a finite energy gap of the order of the plasma frequency. We observe an overdamped to underdamped crossover for the Higgs mode which acquires a finite energy gap below $\approx T_c/2$, with $T_c$ the superconducting critical temperature. Interestingly, the energy gap of the Higgs mode at low temperature is significantly smaller than $2\Delta$, with $\Delta$ the superconducting energy gap. Finally, we interpret our results using Ginzburg-Landau theory and we confirm the validity of previously derived perturbative analytic expressions.<br />Comment: v1: 43 pages, 18 figures; v2: minor revision (a reference added, a figure added, comments added); v3: minor revision, matching the published version
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- J. High Energ. Phys. 2023, 206 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2302.02364
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP03(2023)206