Particle Interpretations and Green Functions for a Free Scalar Field

Details Particle Interpretations and Green Functions for a Free Scalar Field Particle Interpretations and Green Functions for a Free Scalar Field

1995-07-11

arxiv.org/abs/gr-qc/9507023v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages; LaTeX2e document; it uses amsmath.sty, amsfonts.sty, amssymb.sty, cite.sty and ifthen.sty packages; There exists a b

Scientific paper

The formalism of Ashtekar and Magnon \cite{AshtekarMagnon:1975} for the definition of particles in quantum field theory in curved spacetime is further developed. The relation between basic objects of this formalism (e.g., the complex structure) and different Green functions is found. It allows one to derive composition laws for Green functions. The relation of two definitions of particles is reformulated in the formalism and the base-independent Bogoljubov transformation is expressed using quantities which are derivable directly from the ``in-out'' Green function.

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