https://doi.org/10.1140/epjp/s13360-024-04877-x
Regular Article
Nonlocal quantum field theory and quantum entanglement
1
Perimeter Institute for Theoretical Physics, N2L 2Y5, Waterloo, ON, Canada
2
Département de Physique, Université Paris-Saclay, 91405, Orsay, France
3
Department of Physics and Astronomy, University of Waterloo, N2L 3G1, Waterloo, ON, Canada
a
robin.landry@universite-paris-saclay.fr
Received:
4
October
2023
Accepted:
7
January
2024
Published online:
21
January
2024
We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We use here a nonlocal quantum field theory which is finite, satisfying Poincaré invariance, unitarity and microscopic causality. This nonlocal quantum field theory associates infinite derivative entire functions with propagators and vertices. We focus on proving causality and discussing its importance when constructing a relativistic field theory. We formulate scalar field theory using the functional integral in order to characterize quantum entanglement and the entanglement entropy of the theory. Using the replica trick, we compute the entanglement entropy for the theory in 
dimensions on a cone with deficit angle. The result is free of UV divergences.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
