Related papers: Nonlocal Quantum Field Theory and Quantum Entanglement

Nonlocal Quantum Field Theory and Quantum Entanglement

URL: http://arxiv.org/abs/2309.06576v3
Date: Wed, 10 Jan 2024 23:15:26 GMT
Title: Nonlocal Quantum Field Theory and Quantum Entanglement
Authors: Robin Landry and John Moffat
Abstract summary: We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as quantum field theory. We use here a nonlocal quantum field theory (NLQFT) which is finite, satisfies Poincar'e invariance, unitarity and microscopic causality.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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 Poincar\'e 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.

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