Conformal generally covariant quantum field theory: the scalar field and its Wick products

DOI10.1007/s00220-009-0780-xzbMath1171.81021arXiv0806.0803OpenAlexW3100185853WikidataQ125705263 ScholiaQ125705263MaRDI QIDQ842495

Nicola Pinamonti

Publication date: 25 September 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0803

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05)

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Cites Work

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• Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
• Thermodynamic properties of non-equilibrium states in quantum field theory
• Radiation damping in a gravitational field
• Wave equations on Lorentzian manifolds and quantization.
• Local thermal equilibrium states and quantum energy inequalities
• Algebras of local observables on a manifold
• The generally covariant locality principle -- a new paradigm for local quantum field theory
• Proof of the symmetry of the off-diagonal Hadamard/Seeley-DeWitt's coefficients in \(C^\infty\) Lorentzian manifolds by a ``local Wick rotation
• Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
• Existence of local covariant time ordered products of quantum fields in curved spacetime
• Comments on the stress-energy tensor operator in curved spacetime
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Quantum energy inequalities and local covariance. II: Categorical formulation
• Local temperature in curved spacetime
• CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
• Algebraic quantum field theory, perturbation theory, and the loop expansion
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime