Notes on Quantum Field Theory in Curved Spacetime: Problems Relating to the Concept of Particles and Hamiltonian Formalism

2007/06/13 by Vladimir S. Mashkevich, Vladimir Mashkevich, Mashkevich, Vladimir · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0706.1802

27 pages, LaTeX 2e. Substantially extended, sections on applications to black hole and universe added

openalex publication_date 2007/06/13 · arxiv created 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic curved spacetime is outlined. A Hamiltonian formulation of quantum field theory in curved spacetime is elaborated for a preferred reference frame with a separated space metric (a static spacetime and a reductive synchronous reference frame). Applications: (1) Black hole. (2) The universe; the cosmological redshift is obtained in the context of quantum field theory.

Citations

• The Principles of Quantum Mechanics
• Spacetime and Geometry

Cited by

• Renormalizable Quantum Gravity in Low Energy without Violating Unitarity
• Naturally-Coupled Dark Sectors

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