Entanglement area law violation from field-curvature coupling
Belfiglio A. Luongo O. Mancini S.
January 2024Elsevier B.V.
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2024#848
We investigate the ground state entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature, assuming a static, spherically symmetric background. We first discretize the field Hamiltonian by introducing a lattice of spherical shells and imposing a cutoff in the radial direction. We then study the ground state of the field and quantify deviations from area law due to nonminimal coupling, focusing in particular on Schwarzschild-de Sitter and Hayward spacetimes, also discussing de Sitter spacetime as a limiting case. We show that large positive coupling constants can significantly alter the entropy scaling with respect to the boundary area, in case of coordinate-dependent spacetime curvature. Our outcomes are interpreted in view of black hole entropy production and early universe scenarios.
Area law , Black-hole entropy , Quantum entanglement
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School of Science and Technology, University of Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
SUNY Polytechnic Institute, Utica, 13502, NY, United States
INAF - Osservatorio Astronomico di Brera, Milano, Italy
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
School of Science and Technology
Istituto Nazionale di Fisica Nucleare (INFN)
SUNY Polytechnic Institute
INAF - Osservatorio Astronomico di Brera
Al-Farabi Kazakh National University
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