Holographic shear correlators at low temperatures, and quantum η/s
Abstract
A bstract The strongly-coupled 3-dimensional theory, holographically dual to black branes at fixed chemical potential μ and temperature T ≪ 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 ≪ μ but otherwise arbitrary. When the transverse space has finite volume, there is a non-zero energy scale E 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 gap . The ω → 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 √(Egap/T) E gap / T at T ≪ E 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 1/4 π when E gap ≪ T ≪ μ , then turns back to increase towards lower temperatures, and finally diverges at temperatures much below E gap .
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BibTeX
@article{kanargias2026holographic,
title = {{Holographic shear correlators at low temperatures, and quantum η/s}},
author = {Alexandros Kanargias and Elias Kiritsis and Sameer Murthy and Olga Papadoulaki and Achilleas Porfyriadis},
journal = {Journal of High Energy Physics},
year = {2026},
month = jul,
doi = {10.1007/jhep07(2026)149},
url = {https://hal.science/hal-05771503v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Holographic shear correlators at low temperatures, and quantum η/s
AU - Alexandros Kanargias
AU - Elias Kiritsis
AU - Sameer Murthy
AU - Olga Papadoulaki
AU - Achilleas Porfyriadis
PY - 2026
DA - 2026/07/16
JO - Journal of High Energy Physics
DO - 10.1007/jhep07(2026)149
UR - https://hal.science/hal-05771503v1
AB - A bstract The strongly-coupled 3-dimensional theory, holographically dual to black branes at fixed chemical potential μ and temperature T ≪ 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 ≪ μ but otherwise arbitrary. When the transverse space has finite volume, there is a non-zero energy scale E 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 gap . The ω → 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 √(E_gap/T) E gap / T at T ≪ E 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 1/4 π when E gap ≪ T ≪ μ , then turns back to increase towards lower temperatures, and finally diverges at temperatures much below E gap .
SN - 1126-6708
SN - 1029-8479
ER -