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ID 20814
file
creator
Suzuki, Hiroshi
Sasaki, Misao
Yokoyama, Jun'ichi
NDC
Physics
abstract
We present a systematic method to calculate the probability distribution functional (PDF) for spatial configuration of an interacting field in curved space-time. As an example, we consider PDF for the minimally coupled massive λΦ4 theory up to the first order of the coupling constant and evaluate it both in Minkowski and de Sitter spacetimes. We observe that PDF has an ultraviolet divergence even after the ultraviolet renormalization. This divergence is unavoidable to reproduce finite expectation values; thus some kind of regularization is necessary to write down PDF. As an application of it, a scaling law among multipoint correlation functions in the de Sitter space is found.
journal title
International Journal of Modern Physics A
volume
Volume 9
issue
Issue 2
start page
221
end page
238
date of issued
1994-01-20
publisher
World Scientific Publishing
issn
0217-751X
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
Copyright (c) 1994 World Scientific Publishing Company
relation url
department
Graduate School of Science