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Auteurs principaux:	Landry, Robin, Moffat, John
Format:	Preprint
Publié:	2023
Sujets:	High Energy Physics - Theory Quantum Physics
Accès en ligne:	https://arxiv.org/abs/2309.06576
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author	Landry, Robin Moffat, John
author_facet	Landry, Robin Moffat, John
contents	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 (NLQFT) which is finite, satisfies 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 3 + 1 dimensions on a cone. The result is free of UV divergences and we recover the area law.
format	Preprint
id	arxiv_https___arxiv_org_abs_2309_06576
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Nonlocal Quantum Field Theory and Quantum Entanglement Landry, Robin Moffat, John High Energy Physics - Theory Quantum Physics 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 (NLQFT) which is finite, satisfies 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 3 + 1 dimensions on a cone. The result is free of UV divergences and we recover the area law.
title	Nonlocal Quantum Field Theory and Quantum Entanglement
topic	High Energy Physics - Theory Quantum Physics
url	https://arxiv.org/abs/2309.06576

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