2016/05/31 by Yi Ling, Zhuo-Yu Xian, Zhenhua Zhou · 36 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conjecture #Cosmology and Gravitation Theories #Entropy (arrow of time) #Exponent #Geometry #Gravitation #Graviton #Holography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Scaling #Shear viscosity #Statistical physics #Theoretical physics #Thermodynamics #Viscosity #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep11(2016)007
published in Journal of High Energy Physics 2016(11) (Springer Nature) · 38 pages, 8 figures: 1 appendix added, 2 figures added, 1 references added
openalex publication_date 2016/11/01 · arxiv created 2016/11/06 · arxiv updated 2016/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we investigate the ratio of shear viscosity to entropy density, η/s, in hyperscaling violating geometry with lattice structure. We show that the scaling relation with hyperscaling violation gives a strong constraint to the mass of graviton and usually leads to a power law of temperature, η/s ∼ T κ . We find the exponent κ can be greater than two such that the new bound for viscosity raised in [7] is violated. Our above observation is testified by constructing specific solutions with UV completion in various holographic models. Finally, we compare the boundedness of κ with the behavior of entanglement entropy and conjecture a relation between them.