Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction (Q2799461)

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English	Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction	scientific article

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scholarly article

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Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction (English)

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Advances in Algebraic Quantum Field Theory

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publication date

11 April 2016

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full work available at URL

https://arxiv.org/abs/1412.5945

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MaRDI profile type

MaRDI publication profile

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Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

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Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions

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Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.

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The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

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The generally covariant locality principle -- a new paradigm for local quantum field theory

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Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime

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A quantum weak energy inequality for spin-one fields in curved space–time

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Dynamical locality of the free scalar field

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Singularity structure of the two-point function in quantum field theory in curved spacetime

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Singularity structure of the two-point function in quantum field theory in curved spacetime. II

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Construction of Hadamard states by pseudo-differential calculus

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Linear bosonic and fermionic quantum gauge theories on curved spacetimes

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On GNS representations on inner product spaces. I. The structure of the representation space

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The state space of perturbative quantum field theory in curved spacetimes.

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Local Wick polynomials and time ordered products of quantum fields in curved spacetime

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Existence of local covariant time ordered products of quantum fields in curved spacetime

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CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES

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Fourier integral operators. I

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Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon

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Proof of the symmetry of the off-diagonal heat-kernel and Hadamard's expansion coefficients in general \(C^\infty\) Riemannian manifolds

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Comments on the stress-energy tensor operator in curved spacetime

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Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property

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Spectral Theory and Quantum Mechanics

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On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario

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Micro-local approach to the Hadamard condition in quantum field theory on curved space-time

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A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch)

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L'intégrale de Riemann-Liouville et le problème de Cauchy

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MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME

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Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law

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Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems

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Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-21353-8_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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