A Note on Entanglement Entropy for Primary Fermion Fields in JT Gravity
arXiv:2210.01545 · doi:10.1088/1674-1137/acdd60
Abstract
In this paper we analyse and discuss 2D Jackiw-Teitelboim (JT) gravity coupled to primary fermion fields in asymptotically anti-de Sitter (AdS) spacetimes. We get a particular solution of the massless Dirac field outside the extremal black hole horizon and find the solution for the dilaton in JT gravity. Two dimensional JT gravity spacetime is conformally flat, we calculate the two point correlators of primary fermion fields under the Weyl transformations. The key point of this work is to present a standard technique which is called resolvent rather than CFT methods. We redefine the fields in terms of the conformal factor as the fermion fields, and we use the resolvent technique to derive the renormalized entanglement entropy for massless Dirac fields in JT gravity.
arXiv comment15 pages, 3 figures; improvements to presentation, new content added in appendix to comment about the correlator trace formula of primary fermion fields, published version in CPC
References in corpus (13)
- Entanglement Entropy and Quantum Field Theory
- Entanglement entropy and conformal field theory
- Entanglement entropy in free quantum field theory
- Dilaton Gravity in Two Dimensions
- Reduced density matrix and internal dynamics for multicomponent regions
- Entanglement Wedge Reconstruction via Universal Recovery Channels
- Pulling Out the Island with Modular Flow
- A modular toolkit for bulk reconstruction
- Moving mirrors, Page curves and bulk entropies in AdS
- Analytic results on the geometric entropy for free fields
- The entanglement and relative entropy of a chiral fermion on the torus
- Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
- Mach like principle from conserved charges