Pseudospectra of holographic diffusion: gauge fields breaking free from the master scalar
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| author | Garcia-Fariña, David Landsteiner, Karl Romeu, Pau G. Saura-Bastida, Pablo |
| author_facet | Garcia-Fariña, David Landsteiner, Karl Romeu, Pau G. Saura-Bastida, Pablo |
| contents | We study pseudospectra of quasinormal frequencies and complex linear momenta of a U(1) gauge field in a Schwarzschild black branes in Anti-de Sitter. We present a novel approach for computing the pseudospectra which uses directly the gauge field variables and contrast it to a conventional master scalar field approach. Upon clarifying a subtlety in the energy norm of the master scalar we show that the pseudospectra of both approaches conincide. In the hydrodynamic regime we find that the hydrodynamic quasinormal frequency, the diffusive mode, is spectrally stable to a very good approximation. On the other hand hydrodynamic complex linear momenta show enhanced spectral instability as a consequence of a pole-collision at zero frequency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pseudospectra of holographic diffusion: gauge fields breaking free from the master scalar Garcia-Fariña, David Landsteiner, Karl Romeu, Pau G. Saura-Bastida, Pablo High Energy Physics - Theory General Relativity and Quantum Cosmology We study pseudospectra of quasinormal frequencies and complex linear momenta of a U(1) gauge field in a Schwarzschild black branes in Anti-de Sitter. We present a novel approach for computing the pseudospectra which uses directly the gauge field variables and contrast it to a conventional master scalar field approach. Upon clarifying a subtlety in the energy norm of the master scalar we show that the pseudospectra of both approaches conincide. In the hydrodynamic regime we find that the hydrodynamic quasinormal frequency, the diffusive mode, is spectrally stable to a very good approximation. On the other hand hydrodynamic complex linear momenta show enhanced spectral instability as a consequence of a pole-collision at zero frequency. |
| title | Pseudospectra of holographic diffusion: gauge fields breaking free from the master scalar |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.02659 |