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Notes on Some Entanglement Properties of Quantum Field Theory
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Notes on Some Entanglement Properties of Quantum Field Theory
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These are notes on some entanglement properties of quantum field theory, aiming to make accessible a variety of ideas that are known in the literature. The main goal is to explain how to deal with entanglement when -- as in quantum field theory -- it is a property of the algebra of observables and not just of the states.
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Cited by 43 Pith papers
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Excitability in quantum field theory
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The BEF Symplectic Form: A Lagrangian Perspective
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Fiducial observers and the thermal atmosphere in the black hole quantum throat
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Modular quantization and black holes
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Semiclassical algebraic reconstruction for type III algebras
Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.
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Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality
In the massive Majorana field in 1+1 dimensions, the vacuum Bell-CHSH correlator is reduced to a single spectral weight, with the Tsirelson bound approached as the weight concentrates near modular eigenvalue 1.
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Separability from Multipartite Measures
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Modular Theory and the Bell-CHSH inequality in relativistic scalar Quantum Field Theory
Modular operators construct wedge-localized one-particle vectors that produce Bell-CHSH violations ~2.3 for free scalar fields, with an outline for approaching Tsirelson's bound via modular-spectrum-aware operators.
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Entanglement Entropy and Thermodynamics of Dynamical Black Holes
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More on Majorana fields, modular localization and near saturation of the Tsirelson bound
Free massless Majorana fields in 1+1D with modular wedge localization nearly saturate the Tsirelson bound for the Bell-CHSH inequality.
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More on Majorana fields, modular localization and near saturation of the Tsirelson bound
Modular wedge localization of free massless Majorana fields in 1+1 dimensions yields Bell-CHSH correlators that approach the Tsirelson bound of 2√2.
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Separability from Multipartite Measures
Third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, with generalizations to mixed states, qudits, and an application to conformal field theory.
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Implication of dressed form of relational observable on von Neumann algebra
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Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
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