The symplectic geometry of a parametrized scalar field on a curved background

DOI10.1063/1.531578zbMath0863.58025arXivgr-qc/9510028OpenAlexW3099786206WikidataQ124847336 ScholiaQ124847336MaRDI QIDQ5284802

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Publication date: 25 February 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9510028

zbMATH Keywords

symplectic geometryextended phase spacefield dynamicsKuchař constraintparametrized scalar fieldweak-symplectic manifold

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Interpretation ⋮ Covariant momentum map thermodynamics for parametrized field theories ⋮ Time evolution of observable properties of reparametrization-invariant systems

Cites Work

• Particle creation by black holes
• Representations of spacetime diffeomorphisms. I: Canonical parametrized field theories. II: Canonical geometrodynamics
• Group quantization of parametrized systems. I. Time levels
• Forms of Relativistic Dynamics
• The Hamiltonian Form of Field Dynamics

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