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Nonlocal Quantum Field Theory and Quantum Entanglement
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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.
Forward citations
Cited by 5 Pith papers
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A First Bound on the Moffat Energy and Thorium--229 Clock as a Probe of the Nonlocal Time-Energy Structure
Published 229Th clock data, under an assumed quadratic nonlocal frequency-shift with unit coefficient, set E_M > 22.3 MeV (direct), >1.72 GeV (enhanced), and up to ~27 TeV (nuclear-scale illustration).
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Manifestation of quantum entanglement between harmonic oscillators in de Sitter
In de Sitter space, two harmonic oscillators coupled by a massless scalar field develop late-time entanglement that is sizeable when frequency and separation are near the Hubble scale, and tiny otherwise.
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On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.
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Finite Nonlocal Holomorphic Unified Quantum Field Theory
Inserting exponential regulators exp(□/M_*^2) into a holomorphic unified action is claimed to make the theory ultraviolet-finite, but the demonstration in the paper is incomplete and contains errors.
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De Sitter Cores from Nonlocal Quantum Field Theories
An exponential nonlocal regulator maps a point mass to a Gaussian density whose Einstein solution has a de Sitter core, reproducing (with new labeling) the known Gaussian-sourced regular black hole.
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