One-loop corrected holographic shear viscosity to entropy density ratio at low temperatures
- 1University of Michigan
Abstract
A bstract : Near-extremal black holes contain infrared-enhanced quantum fluctuations in their near-horizon near-AdS ₂ throat, governed in part by Schwarzian modes. We study the effect of these fluctuations on the zero-frequency stress-tensor response of a near-extremal asymptotically AdS ₄ Reissner-Nordström black brane whose transverse directions are regulated by a finite toroidal quotient. Working directly in four dimensions, we compute the leading correction in the weakly coupled Schwarzian regime T q ≪ T ≪ r ₀ / L ² . At one loop, the shear perturbation couples to the n = 2 would-be zero mode and produces a correction proportional to T q / T . Together with the logarithmic correction to the entropy, this yields a finite-volume correction to η / s . Our calculation provides a direct four-dimensional benchmark, complementary to exact two-dimensional treatments, while keeping the asymptotic AdS ₄ source explicit.
Related
BibTeX
@article{zayas2026oneloop,
title = {{One-loop corrected holographic shear viscosity to entropy density ratio at low temperatures}},
author = {Leopoldo A. Pando Zayas and Jingchao Zhang},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)226},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)226},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - One-loop corrected holographic shear viscosity to entropy density ratio at low temperatures
AU - Leopoldo A. Pando Zayas
AU - Jingchao Zhang
PY - 2026
DA - 2026/10/22
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)226
UR - https://link.springer.com/article/10.1007/JHEP10(2026)226
AB - A bstract : Near-extremal black holes contain infrared-enhanced quantum fluctuations in their near-horizon near-AdS ₂ throat, governed in part by Schwarzian modes. We study the effect of these fluctuations on the zero-frequency stress-tensor response of a near-extremal asymptotically AdS ₄ Reissner-Nordström black brane whose transverse directions are regulated by a finite toroidal quotient. Working directly in four dimensions, we compute the leading correction in the weakly coupled Schwarzian regime T q ≪ T ≪ r ₀ / L ² . At one loop, the shear perturbation couples to the n = 2 would-be zero mode and produces a correction proportional to T q / T . Together with the logarithmic correction to the entropy, this yields a finite-volume correction to η / s . Our calculation provides a direct four-dimensional benchmark, complementary to exact two-dimensional treatments, while keeping the asymptotic AdS ₄ source explicit.
SN - 1029-8479
ER -