2019/10/13 by Chanyong Park, Jung Hun Lee · 10 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dilaton #Entropy (arrow of time) #Holography #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #hep-th
paper · pdf · open access · doi:10.1103/physrevd.101.086008
published in Physical review. D/Physical review. D. 101(8) (American Physical Society) · 20 pages, 9 figures
arxiv created 2019/10/13 · openalex publication_date 2020/04/06 · arxiv updated 2020/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we holographically study the renormalization group (RG) flow in a three-dimensional Einstein-dilaton gravity with a potential permitting several types of the RG flow with nontrivial beta-functions. By using the intrinsic parameter of the potential, we classify possible holographic RG flows and examine their physical features. Using the Ryu-Takayanagi formulation, furthermore, we investigate how the c-function of the entanglement entropy behaves along the RG flow numerically. We show that the entanglement c-function monotonically decreases even in the cases with a nontrivial beta-function. For checking the consistency, we also compare the result of the entanglement entropy with the c-function derived from the holographic renormalization procedure.