Probability Distribution Functional for Equal-time Correlation Functions in Curved Space
International Journal of Modern Physics A Volume 9 Issue 2
Page 221-238
published_at 1994-01-20
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| File | |
| Title ( eng ) |
Probability Distribution Functional for Equal-time Correlation Functions in Curved Space
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| Creator |
Suzuki Hiroshi
Sasaki Misao
Yokoyama Jun'ichi
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| Source Title |
International Journal of Modern Physics A
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| Volume | 9 |
| Issue | 2 |
| Start Page | 221 |
| End Page | 238 |
| 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.
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| NDC |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
World Scientific Publishing
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| Date of Issued | 1994-01-20 |
| Rights |
Copyright (c) 1994 World Scientific Publishing Company
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0217-751X
[DOI] 10.1142/S0217751X9400011X
[NCID] AA10669072
[DOI] http://dx.doi.org/10.1142/S0217751X9400011X
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