Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
An Algebraic Approach to Quantum Field Theory
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The Newton-Cartan limit of Klein-Gordon AQFT on static spacetimes produces Galilean Haag-Kastler nets without Reeh-Schlieder property or modular flow on local algebras, with the field mass as Bargmann central charge.
A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via index-statistics theorem.
citing papers explorer
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Galilean Reeh--Schlieder Obstruction
Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
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Newton-Cartan limit of Klein-Gordon AQFT and the collapse of Galilean modular structure
The Newton-Cartan limit of Klein-Gordon AQFT on static spacetimes produces Galilean Haag-Kastler nets without Reeh-Schlieder property or modular flow on local algebras, with the field mass as Bargmann central charge.
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Foundations of Relational Quantum Field Theory I: Scalars
A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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From quantum time to manifestly covariant QFT: On the need for a quantum-action-based quantization
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
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A QFT information protocol for charged black holes
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via index-statistics theorem.