Algebraic Quantum Field Theory in Curved Spacetimes

DOI10.1007/978-3-319-21353-8_4zbMath1334.81079arXiv1504.00586OpenAlexW1908677922MaRDI QIDQ2799460

Rainer Verch, Christopher J. Fewster

Publication date: 11 April 2016

Published in: Advances in Algebraic Quantum Field Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00586

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (34)

On the initial value problem for semiclassical gravity without and with quantum state collapses ⋮ Categorification of algebraic quantum field theories ⋮ Relative Cauchy evolution for linear homotopy AQFTs ⋮ Hadamard states for bosonic quantum field theory on globally hyperbolic spacetimes ⋮ Smooth 1-dimensional algebraic quantum field theories ⋮ Hadamard property of the \textit{in} and \textit{out} states for Dirac fields on asymptotically static spacetimes ⋮ The split property for quantum field theories in flat and curved spacetimes ⋮ A skeletal model for \(2\mathrm{d}\) conformal AQFTs ⋮ Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes ⋮ Quantum physics, fields and closed timelike curves: the D-CTC condition in quantum field theory ⋮ An analogue of the Coleman-Mandula theorem for quantum field theory in curved spacetimes ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ Green hyperbolic complexes on Lorentzian manifolds ⋮ Arrow of time and quantum physics ⋮ Homotopy theory of net representations ⋮ Quantum fields and local measurements ⋮ Construction of the Unruh state for a real scalar field on the Kerr-de Sitter spacetime ⋮ Spacetimes categories and disjointness for algebraic quantum field theory ⋮ Strictification theorems for the homotopy time-slice axiom ⋮ Operads for algebraic quantum field theory ⋮ Algebraic Quantum Field Theory ⋮ The D-CTC Condition in Quantum Field Theory ⋮ A Generally Covariant Measurement Scheme for Quantum Field Theory in Curved Spacetimes ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Homotopy theory of algebraic quantum field theories ⋮ Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories ⋮ Algebraic field theory operads and linear quantization ⋮ Recursive construction of the operator product expansion in curved space ⋮ Some remarks on representations up to homotopy ⋮ Unruh Effect: Introductory notes to quantum effects for accelerated observers ⋮ Effective quantum gravity observables and locally covariant QFT ⋮ The art of the state ⋮ Locally covariant quantum field theory and the spin–statistics connection ⋮ Quantum fields on semi-globally hyperbolic space-times

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