The quantum equivalence principle and finite particle creation in expanding universes

A formulation of the equivalence principle in quantum field theory is introduced. The quantum equivalence principle yields implementable Bogolyubov transformations. In this way we find a theory for a scalar field in curved space–time where particle creation is finite for every value of the couplin...

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Autor principal: Castagnino, Mario Alberto G. J.
Publicado: 1981
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v22_n1_p142_Castagnino
http://hdl.handle.net/20.500.12110/paper_00222488_v22_n1_p142_Castagnino
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spelling paper:paper_00222488_v22_n1_p142_Castagnino2023-06-08T14:48:04Z The quantum equivalence principle and finite particle creation in expanding universes Castagnino, Mario Alberto G. J. BOGOLYJBOV TRANSFORMATION BOUNDARY CONDITIONS COSMOLOGY COUPLING CONSTANTS CREATION OPERATORS EQUIVALENCE PRINCIPLE GREEN FUNCTION OLEIN−GORDON EQUATION QUANTUM FIELD THEORY SCALAR FIELDS SPACE−TIME UNIVERSE WAVE FUNCTIONS A formulation of the equivalence principle in quantum field theory is introduced. The quantum equivalence principle yields implementable Bogolyubov transformations. In this way we find a theory for a scalar field in curved space–time where particle creation is finite for every value of the coupling constant. In the particular case of conformal coupling the initial conditions of positive and negative frequency wave functions coincide with the ones of a first order WKB approximation. The coefficients of the Bogolyubov transformations are exactly computed and the created energy density is also finite. © 1981, American Institute of Physics. All rights reserved. Fil:Castagnino, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1981 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v22_n1_p142_Castagnino http://hdl.handle.net/20.500.12110/paper_00222488_v22_n1_p142_Castagnino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic BOGOLYJBOV TRANSFORMATION
BOUNDARY CONDITIONS
COSMOLOGY
COUPLING CONSTANTS
CREATION OPERATORS
EQUIVALENCE PRINCIPLE
GREEN FUNCTION
OLEIN−GORDON EQUATION
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE−TIME
UNIVERSE
WAVE FUNCTIONS
spellingShingle BOGOLYJBOV TRANSFORMATION
BOUNDARY CONDITIONS
COSMOLOGY
COUPLING CONSTANTS
CREATION OPERATORS
EQUIVALENCE PRINCIPLE
GREEN FUNCTION
OLEIN−GORDON EQUATION
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE−TIME
UNIVERSE
WAVE FUNCTIONS
Castagnino, Mario Alberto G. J.
The quantum equivalence principle and finite particle creation in expanding universes
topic_facet BOGOLYJBOV TRANSFORMATION
BOUNDARY CONDITIONS
COSMOLOGY
COUPLING CONSTANTS
CREATION OPERATORS
EQUIVALENCE PRINCIPLE
GREEN FUNCTION
OLEIN−GORDON EQUATION
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE−TIME
UNIVERSE
WAVE FUNCTIONS
description A formulation of the equivalence principle in quantum field theory is introduced. The quantum equivalence principle yields implementable Bogolyubov transformations. In this way we find a theory for a scalar field in curved space–time where particle creation is finite for every value of the coupling constant. In the particular case of conformal coupling the initial conditions of positive and negative frequency wave functions coincide with the ones of a first order WKB approximation. The coefficients of the Bogolyubov transformations are exactly computed and the created energy density is also finite. © 1981, American Institute of Physics. All rights reserved.
author Castagnino, Mario Alberto G. J.
author_facet Castagnino, Mario Alberto G. J.
author_sort Castagnino, Mario Alberto G. J.
title The quantum equivalence principle and finite particle creation in expanding universes
title_short The quantum equivalence principle and finite particle creation in expanding universes
title_full The quantum equivalence principle and finite particle creation in expanding universes
title_fullStr The quantum equivalence principle and finite particle creation in expanding universes
title_full_unstemmed The quantum equivalence principle and finite particle creation in expanding universes
title_sort quantum equivalence principle and finite particle creation in expanding universes
publishDate 1981
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v22_n1_p142_Castagnino
http://hdl.handle.net/20.500.12110/paper_00222488_v22_n1_p142_Castagnino
work_keys_str_mv AT castagninomarioalbertogj thequantumequivalenceprincipleandfiniteparticlecreationinexpandinguniverses
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