2014/12/31 by Horacio Casini, F. D. Mazzitelli, Francisco D. Mazzitelli +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Computation #Cosmology and Gravitation Theories #Entropy (arrow of time) #Euclidean geometry #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization #Statistical physics #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.91.104035
published as Phys. Rev. D 91, 104035 (2015) · 26 pages, no figures, references added
arxiv created 2015/02/27 · openalex publication_date 2015/05/27 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss area terms in entanglement entropy and show that a recent formula by Rosenhaus and Smolkin is equivalent to the term involving a correlator of traces of the stress tensor in the Adler-Zee formula for the renormalization of the Newton constant. We elaborate on how to fix the ambiguities in these formulas: Improving terms for the stress tensor of free fields, boundary terms in the modular Hamiltonian, and contact terms in the Euclidean correlation functions. We make computations for free fields and show how to apply these calculations to understand some results for interacting theories which have been studied in the literature. We also discuss an application to the F-theorem.