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Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 547-580

[ Full Text PDF : FREE ACCESS (1487K) ]

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


*)E-mail: tama@vega.ess.sci.osaka-u.ac.jp
**) E-mail: sakagami@phys.h.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (1487K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 779-803 :
    Influence on Observation from IR Divergence during Inflation. I
    Yuko Urakawa and Takahiro Tanaka
  2. Progress of Theoretical Physics Vol. 122 No. 5 (2009) pp. 1207-1238 :
    Influence on Observation from IR Divergence during Inflation. II
    Yuko Urakawa and Takahiro Tanaka