2021/01/27 by Alessio Belfiglio, Orlando Luongo, Stefano Mancini
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Mathematical physics #Mathematics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum entanglement #Quantum mechanics #Scalar field #Spacetime #Theoretical physics #Torsion (gastropod) #gr-qc #quant-ph
paper · pdf · doi:10.1103/physrevd.104.043523
published as Phys. Rev. D 104, 043523 (2021) · 10 pages, 4 figures
arxiv created 2021/01/27 · openalex publication_date 2021/08/18 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the entanglement production for Dirac and Klein-Gordon fields in an expanding spacetime characterized by the presence of torsion. Torsion is here considered according to the Einstein-Cartan theory with a conformally flat Friedmann-Robertson-Walker spacetime. In this framework, torsion is seen as an external field, fulfilling precise constraints gotten directly from the cosmological principle. For Dirac field, we find that torsion increases the amount of entanglement. This turns out to be particularly evident for small values of particle momentum. We discuss the role of Pauli exclusion principle in view of our results, and, in particular, we propose an interpretation of the two maxima that occur for the entanglement entropy in the presence of torsion. For Klein-Gordon field, and differently from the Dirac case, the model can be exactly solved in some cases. We discuss, in particular, conformal coupling to the scalar curvature and the special case of antisymmetric torsion. Again, we show how torsion affects the amount of entanglement, providing a robust physical motivation behind the increase or decrease of entanglement entropy. A direct comparison of our findings is also discussed in view of previous results derived in absence of torsion. To this end, we give prominence on how our expectations would change in terms of the coupling between torsion and the scale factor for both Dirac and Klein-Gordon fields.