Notes on Quantum Field Theory in Curved Spacetime: Problems Relating to the Concept of Particles and Hamiltonian Formalism
arXiv:0706.1802
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.
27 pages, LaTeX 2e. Substantially extended, sections on applications to black hole and universe added
References in corpus (4)
- Quantum Field Theory in Curved Spacetime
- The History and Present Status of Quantum Field Theory in Curved Spacetime
- Classical and Quantum Fields in Curved Spacetime: Canonical Theory versus Conventional Construction
- On Cosmological Spacetime Structure and Symmetry: Manifold as a Lie Group, Spinor Structure and Symmetry Group, Minkowski Metric, and Unnecessariness of Double-Valued Representations