Path integral approach to particle production in a spatially-flat Robertson-Walker spacetime with cosmic scale factors a(t)=ao cosh (at) and a(t)= ao sin (at)

Pair production of free scalar particles in a spatially-flat Robertson-Walker spacetime with cosmic scale factors a(t)=ao cosh(at) and a(t)=ao sin(at), that represent an open and a closed universe, respectively, is investigated. The amplitude of pair production was determined by considering the prop...

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Bibliographic Details
Main Author: Guevarra, Jonathan S.
Format: text
Language:English
Published: Animo Repository 1994
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/1555
https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=8393&context=etd_masteral
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Institution: De La Salle University
Language: English
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Summary:Pair production of free scalar particles in a spatially-flat Robertson-Walker spacetime with cosmic scale factors a(t)=ao cosh(at) and a(t)=ao sin(at), that represent an open and a closed universe, respectively, is investigated. The amplitude of pair production was determined by considering the propagator of a particle to evolve from the time when an antiparticle was detected to the time when its corresponding particle was observed. The propagator for each scale factor was evaluated exactly using the Feyman path integral method. From this propagator, the production amplitude and the particle number were determined. Results were found to be consistent with previous studies.