2017/09/30 by Johanna Erdmenger, Nina Miekley · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Duality (order theory) #Gauge theory #General relativity #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Observable #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Schwarzschild metric #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep03(2018)034
42 pages + appendix
arxiv created 2017/11/03 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Within gauge/gravity duality, we consider the AdS-Schwarzschild metric in arbitrary dimensions. We obtain analytical closed-form results for the two-point function, Wilson loop and entanglement entropy for strip geometries in the finite-temperature field-theory dual. According to the duality, these are given by the area of minimal surfaces of different dimension in the gravity background. Our analytical results involve generalised hypergeometric functions. We show that they reproduce known numerical results to great accuracy. Our results allow to identify new physical behaviour: for instance, we consider the entanglement density, i.e. the difference of entanglement entropies at finite and vanishing temperature divided by the volume of the entangling region. For field theories of dimension seven or higher, we find that the entanglement density displays non-monotonic behaviour as function of ℓ · T , with ℓ the strip width and T the temperature. This implies that the area theorem, proven for RG flows in general dimensions, does not apply here. This may signal the emergence of new degrees of freedom for AdS Schwarzschild black holes in eight or more dimensions.