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Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 547-580
Classical Nature of the Inflaton Field with Self-Interaction
Takahiro Tanaka*) and
Masa-aki Sakagami *,**)
Department of Earth and Space Science,
Graduate School of Science
Osaka University, Toyonaka 560-0043, Japan
*Cosmology Group, Faculty of Integrated Human Studies
Kyoto University, Kyoto 606-8501, Japan
(Received May 20, 1998)
Abstract:
Taking into account the effect of self-interaction,
the dynamics of the quantum fluctuations of the
inflaton field with a λφ4 potential
is studied in detail.
We find that the self-interaction efficiently drives
the initial pure state into a mixed state, which can
be understood as a statistical ensemble.
Further, the expectation value of the squared
field operator is found to be converted into
the variance of this statistical ensemble without
giving any significant change in the amplitude of fluctuations.
These results verify the ansatz of the quantum-to-classical
transition that has been assumed in the standard evaluation of
the amplitude of the primordial
fluctuations of the universe.
URL :
http://ptp.ipap.jp/link?PTP/100/547/
DOI : 10.1143/PTP.100.547
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 779-803
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Influence on Observation from IR Divergence during Inflation. I
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Yuko Urakawa and Takahiro Tanaka
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Progress of Theoretical Physics Vol. 122 No. 5 (2009) pp. 1207-1238
:
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Influence on Observation from IR Divergence during Inflation. II
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Yuko Urakawa and Takahiro Tanaka