Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime
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Publication:865051
DOI10.1007/s00220-005-1398-2zbMath1113.81104arXivmath-ph/0106028OpenAlexW2027692290MaRDI QIDQ865051
Stefan Hollands, Claudio D'Antoni
Publication date: 13 February 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0106028
Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)
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Cites Work
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- Causal independence and the energy-level density of states in local quantum field theory
- Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
- Abstract twisted duality for quantum free Fermi fields
- The universal structure of local algebras
- Singularity structure of the two-point function in quantum field theory in curved spacetime. II
- Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
- Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
- Nuclear maps and modular structures. II: Applications to quantum field theory
- Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model
- Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties.
- The state space of perturbative quantum field theory in curved spacetimes.
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- On the equilibrium states in quantum statistical mechanics
- Free states of the canonical anticommutation relations
- On quasifree states of CAR and Bogoliubov automorphisms
- HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME
- Dirac Quantum Fields on a Manifold
- MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME
- General Relativity
- Thoughts on the synthesis of quantum physics and general relativity and the role of space-time
- 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
- A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework.
- Local Wick polynomials and time ordered products of quantum fields in curved spacetime
