2017/07/31 by Helmuth Hüffel, Helmuth Huffel, Gerald Kelnhofer · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Joint quantum entropy #Massless particle #Mathematical physics #Model Reduction and Neural Networks #Physics #Quantum #Quantum entanglement #Quantum field theory #Quantum many-body systems #Quantum mechanics #Scalar field #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2017.10.051
published in Physics Letters B 775, 229-232 (Elsevier BV) · 13 pages, revised and extended version, accepted for publication in Physics Letters B
arxiv created 2017/10/24 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The field space entanglement entropy of a quantum field theory is obtained by integrating out a subset of its fields. We study an interacting quantum field theory consisting of massless scalar fields on a closed compact manifold M. To this model we associate its Lifshitz dual model. The ground states of both models are invariant under constant shifts. We interpret this invariance as gauge symmetry and subject the models to proper gauge fixing. By applying the heat kernel regularization one can show that the field space entanglement entropies of the massless scalar field model and of its Lifshitz dual are agreeing.