2017/09/30 by Mostafa Ghasemi, Shahrokh Parvizi
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Entropy (arrow of time) #Gravitational singularity #Logarithm #Quantum Electrodynamics and Casimir Effect #Quantum entanglement #Quantum many-body systems #Scaling #Scaling dimension #Singularity #hep-th
paper · pdf · doi:10.1007/jhep02(2018)009
21 pages. v2: 30 pages, title changed, one section regarding the renormalization added, minor corrections in text and equations
arxiv created 2018/01/16 · openalex publication_date 2018/02/01 · openalex created_date 2018/02/02 · arxiv updated 2018/03/14 · openalex updated_date 2026/08/05
In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional CFT for singular entangling surface. We observe that in addition to the universal term due to the entangling surface, there is a new logarithmic term which corresponds to a relevant perturbation of the conformal field theory with a coefficient depending on the scaling dimension of the relevant operator. We also find a new power law divergence in the holographic entanglement entropy. In addition, we study the effect of a relevant perturbation in the Gauss-Bonnet gravity for a singular entangling surface. Again a logarithmic term shows up. This new term is proportional to both the dimension of the relevant operator and the Gauss-Bonnet coupling. We also introduce the renormalized entanglement entropy for a kink region which in the UV limit reduces to a universal positive finite term.