2018/06/24 by Chanyong Park, Daeho Ro, Jung Hun Lee · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Fixed point #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Operator (biology) #Operator algebra #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum gravity #Quantum mechanics #Renormalization group #Thermal quantum field theory #Ultraviolet fixed point #hep-th
paper · pdf · doi:10.1007/jhep11(2018)165
24 pages, 8 figures
arxiv created 2018/06/24 · openalex publication_date 2018/11/01 · arxiv updated 2018/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR conformal field theory. From the holographic point of view, such a renormalization group flow can be realized as a dual geometry interpolating two different AdS boundaries. On this interpolating geometry, we investigate how the c -function of the entanglement entropy behaves along the RG flow analytically and numerically, which reproduces the expected central charges of UV and IR. We also show that the c -function monotonically decreases from UV to IR without any phase transition.