Models of Free Quantum Field Theories on Curved Backgrounds

DOI10.1007/978-3-319-21353-8_3zbMath1334.81099arXiv1505.04298OpenAlexW339126314MaRDI QIDQ2799459

Marco Benini, Claudio Dappiaggi

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/1505.04298

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (15)

On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary ⋮ Smooth 1-dimensional algebraic quantum field theories ⋮ Constructing Hadamard states via an extended Møller operator ⋮ Algebraic quantum field theory on spacetimes with timelike boundary ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ A new class of fermionic projectors: Møller operators and mass oscillation properties ⋮ Green hyperbolic complexes on Lorentzian manifolds ⋮ Coloring Operads for Algebraic Field Theory ⋮ The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators ⋮ Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory ⋮ Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds ⋮ Linear Yang-Mills theory as a homotopy AQFT ⋮ The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary ⋮ Hadamard states on spherically symmetric characteristic surfaces, the semi-classical Einstein equations and the Hawking effect

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