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.
arXiv:2405.15455 [quant-ph]
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Color confinement arises from the lack of a global color QRF supporting isolated non-singlet relational observables, with consistency checks in lower-dimensional models.
A covariant first-quantized clock formalism yields unitary proper-time evolution for inertial and magnetically accelerated clocks, producing density matrices whose peaks recover classical time dilation plus Gaussian or modulated quantum fluctuations for coherent states.
Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.
citing papers explorer
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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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Understanding Color Confinement through Quantum Reference Frames and Relational Observables
Color confinement arises from the lack of a global color QRF supporting isolated non-singlet relational observables, with consistency checks in lower-dimensional models.
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A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
A covariant first-quantized clock formalism yields unitary proper-time evolution for inertial and magnetically accelerated clocks, producing density matrices whose peaks recover classical time dilation plus Gaussian or modulated quantum fluctuations for coherent states.
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W*-algebraic Integration Theory
Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.