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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.20443 |
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| _version_ | 1866908864514883584 |
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| author | Kanargias, Alexandros Kiritsis, Elias Murthy, Sameer Papadoulaki, Olga Porfyriadis, Achilleas P. |
| author_facet | Kanargias, Alexandros Kiritsis, Elias Murthy, Sameer Papadoulaki, Olga Porfyriadis, Achilleas P. |
| contents | The strongly-coupled 3-dimensional theory, holographically dual to black branes at fixed chemical potential $\muext$ and temperature $T \ll μ$ is considered in AdS$_4$ Einstein-Maxwell theory. The retarded Green's functions at frequency $ω$ is calculated using holography in the regime $ω, T \ll \muext$ but otherwise arbitrary. When the transverse space has finite volume, there is a non-zero energy scale $E_\text{gap}$, scaling as $1/μ$ for large $μ$, below which quantum-gravitational corrections due to the fluctuations of the nearly-gapless Schwarzian modes become important. Such corrections to the retarded Green's function are calculated at different relative values of $ω$, $T$, and $E_\text{gap}$. The $ω\to 0$ limit is used to define the shear viscosity $η$. As the temperature is lowered below $μ$, quantum corrections are found to increase the value of $η$ with respect to its semiclassical value.The quantum-corrected result for $η$ diverges as $\sqrt{E_\text{gap}/T}$ at $T \ll E_\text{gap}$, in accord with corresponding results for the absorption cross section. The quantum result for the ratio $η/s$, where $s$ is the entropy density, dips below the semiclassical limit of $1/4π$ when $E_\text{gap} \ll T \ll μ$,then turns back to increase towards lower temperatures, and finally diverges at temperatures much below $E_\text{gap}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_20443 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holographic shear correlators at low temperatures, and quantum $η/s$ Kanargias, Alexandros Kiritsis, Elias Murthy, Sameer Papadoulaki, Olga Porfyriadis, Achilleas P. High Energy Physics - Theory The strongly-coupled 3-dimensional theory, holographically dual to black branes at fixed chemical potential $\muext$ and temperature $T \ll μ$ is considered in AdS$_4$ Einstein-Maxwell theory. The retarded Green's functions at frequency $ω$ is calculated using holography in the regime $ω, T \ll \muext$ but otherwise arbitrary. When the transverse space has finite volume, there is a non-zero energy scale $E_\text{gap}$, scaling as $1/μ$ for large $μ$, below which quantum-gravitational corrections due to the fluctuations of the nearly-gapless Schwarzian modes become important. Such corrections to the retarded Green's function are calculated at different relative values of $ω$, $T$, and $E_\text{gap}$. The $ω\to 0$ limit is used to define the shear viscosity $η$. As the temperature is lowered below $μ$, quantum corrections are found to increase the value of $η$ with respect to its semiclassical value.The quantum-corrected result for $η$ diverges as $\sqrt{E_\text{gap}/T}$ at $T \ll E_\text{gap}$, in accord with corresponding results for the absorption cross section. The quantum result for the ratio $η/s$, where $s$ is the entropy density, dips below the semiclassical limit of $1/4π$ when $E_\text{gap} \ll T \ll μ$,then turns back to increase towards lower temperatures, and finally diverges at temperatures much below $E_\text{gap}$. |
| title | Holographic shear correlators at low temperatures, and quantum $η/s$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.20443 |