Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces
From MaRDI portal
Publication:1733811
DOI10.1007/s00220-019-03349-zzbMath1414.58002arXiv1706.08942OpenAlexW2962949206MaRDI QIDQ1733811
Christian Gérard, Michał Wrochna
Publication date: 21 March 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.08942
analytic Hadamard statesKlein-Gordon quantum field theoryreal-analytic Cauchy surfacesreal-analytic globally hyperbolic space-time
PDEs in connection with quantum mechanics (35Q40) Real-analytic and Nash manifolds (58A07) Real-analytic sets, complex Nash functions (32C07)
Related Items
Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups, 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, A Gutzwiller trace formula for stationary space-times, Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds, Spectral asymptotics on stationary space-times, Weakly coupled local particle detectors cannot harvest entanglement, Wick rotation of the time variables for two-point functions on analytic backgrounds, The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system, Diagonalization of elliptic systems via pseudodifferential projections, The Hartle–Hawking–Israel state on spacetimes with stationary bifurcate Killing horizons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of Hadamard states by pseudo-differential calculus
- On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon
- Quantum fields in curved spacetime
- Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry
- Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
- Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
- On the Reeh-Schlieder property in curved spacetime
- Smooth approximation of Lipschitz functions on Riemannian manifolds
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Wave equations on Lorentzian manifolds and quantization.
- Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property
- Singularity structure of the two-point function in quantum field theory in curved spacetime. II
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Wick rotation for D-modules
- Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes
- Perturbation theory for linear operators.
- Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties.
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch)
- The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
- Hadamard states for the linearized Yang-Mills equation on curved spacetime
- Antilocality and a Reeh-Schlieder theorem on manifolds
- Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes
- Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols
- Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction
- Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property
- HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME
- Distributions and Operators
- Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems
- Hadamard state in Schwarzschild–de Sitter spacetime
- On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons
- ‘Vacuum-like’ Hadamard states for quantum fields on curved spacetimes
- States of low energy on Robertson–Walker spacetimes
- Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
- States of low energy in homogeneous and inhomogeneous expanding spacetimes
- Introduction
- The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes
- Passivity and microlocal spectrum condition
- The Reeh-Schlieder property for quantum fields on stationary spacetimes
- The Feynman propagator on perturbations of Minkowski space