Algebraic Quantum Field Theory in Curved Spacetimes (Q2799460)

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Language	Label	Description	Also known as
English	Algebraic Quantum Field Theory in Curved Spacetimes	scientific article

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scholarly article

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Algebraic Quantum Field Theory in Curved Spacetimes (English)

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Christopher J. Fewster

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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/1504.00586

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MaRDI profile type

MaRDI publication profile

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A distinguished vacuum state for a quantum field in a curved spacetime: formalism, features, and cosmology

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Wave equations on Lorentzian manifolds and quantization.

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On structure of the algebra of field operators

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Quantum inequalities from operator product expansions

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‘Vacuum-like’ Hadamard states for quantum fields on curved spacetimes

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Perturbative algebraic quantum field theory and the renormalization groups

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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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Superselection sectors and general covariance. I

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Quantum charges and spacetime topology: the emergence of new superselection sectors

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On hot bangs and the arrow of time in relativistic quantum field theory

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Thermodynamic properties of non-equilibrium states in quantum field theory

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Causal independence and the energy-level density of states in local quantum field theory

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On the determination of Cauchy surfaces from intrinsic properties

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The time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes

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Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime

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REMARKS ON THE REEH–SCHLIEDER PROPERTY FOR HIGHER SPIN FREE FIELDS ON CURVED SPACETIMES

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Quantization of Maxwell's equations on curved backgrounds and general local covariance

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RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES

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An explicit quantum weak energy inequality for Dirac fields in curved spacetimes

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Cosmological particle creation in states of low energy

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Algebras of local observables on a manifold

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Fields, observables and gauge transformations. I

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Standard and split inclusions of von Neumann algebras

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Fourier integral operators. II

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Dynamical locality of the nonminimally coupled scalar field and enlarged algebra of Wick polynomials

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A general worldline quantum inequality

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Quantum energy inequalities and local covariance. II: Categorical formulation

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QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY

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Quantum energy inequalities for the non-minimally coupled scalar field

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

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Quantum energy inequalities and local covariance. I. Globally hyperbolic spacetimes

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Absolute quantum energy inequalities in curved spacetime

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A quantum weak energy inequality for Dirac fields in curved spacetime

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Stability of quantum systems at three scales: Passivity, quantum weak energy inequalities and the microlocal spectrum condition

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Dynamical locality and covariance: what makes a physical theory the same in all spacetimes?

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Dynamical locality of the free scalar field

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On a recent construction of ‘vacuum-like’ quantum field states in curved spacetime

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The necessity of the Hadamard condition

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Definition of the Dirac sea in the presence of external fields

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On the modular structure of local algebras of observables

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On the derivation of Hawking radiation associated with the formation of a black hole

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Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory

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

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Domain of Dependence

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A converse Hawking-Unruh effect and \(dS^2\) correspondence

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CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES

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When does a quantum field theory describe particles?

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Generic Bell correlation between arbitrary local algebras in quantum field theory

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The Large Scale Structure of Space-Time

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PCT theorem for the operator product expansion in curved spacetime

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The operator product expansion for perturbative quantum field theory in curved spacetime

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RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME

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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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Axiomatic quantum field theory in curved spacetime

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Spinor fields in four dimensional space-time

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Complex classical fields: a framework for reflection positivity

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Quantum field theory on curved backgrounds. I: The Euclidean functional integral

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HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME

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Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties.

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Quantum field theory on spacetimes with a compactly generated Cauchy horizon

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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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A note on extended locality

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LOCAL FIELDS IN BOUNDARY CONFORMAL QFT

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Boundary quantum field theory on the interior of the Lorentz hyperboloid

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Local quasiequivalence and adiabatic vacuum states

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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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State independence for tunnelling processes through black hole horizons and Hawking radiation

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States of low energy on Robertson–Walker spacetimes

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Static negative energies near a domain wall

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Quantized Fields and Particle Creation in Expanding Universes. I

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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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Algebraic holography

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Independence of local algebras in quantum field theory

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HOMOTOPY OF POSETS, NET-COHOMOLOGY AND SUPERSELECTION SECTORS IN GLOBALLY HYPERBOLIC SPACE-TIMES

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Punctured Haag duality in locally covariant quantum field theories

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Passivity and microlocal spectrum condition

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

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On the Reeh-Schlieder property in curved spacetime

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THE LOCALLY COVARIANT DIRAC FIELD

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Local thermal equilibrium states and quantum energy inequalities

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Einige Bemerkungen über Projektionsoperatoren

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Local thermal equilibrium in quantum field theory on flat and curved spacetimes

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Local thermal equilibrium and KMS states in curved spacetime

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The Reeh-Schlieder property for quantum fields on stationary spacetimes

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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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ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY

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Functional evolution of free quantum fields

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Antilocality and a Reeh-Schlieder theorem on manifolds

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Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime

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

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Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime

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Wavefront sets in algebraic quantum field theory.

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A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework.

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DISTILLABILITY AND POSITIVITY OF PARTIAL TRANSPOSES IN GENERAL QUANTUM FIELD SYSTEMS

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The back reaction effect in particle creation in curved spacetime

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General Relativity

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Algebraic approach to quantum field theory on non-globally-hyperbolic spacetimes

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-21353-8_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2799460

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