Classical Nature of the Inflaton Field with Self-Interaction

Details Classical Nature of the Inflaton Field with Self-Interaction Classical Nature of the Inflaton Field with Self-Interaction

1997-05-21

arxiv.org/abs/gr-qc/9705054v1

Prog.Theor.Phys. 100 (1998) 547-580

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, submitted to Phys. Rev. D15

Scientific paper

10.1143/PTP.100.547

Taking into account the effect of self-interaction, the dynamics of the quantum fluctuations of the inflaton field with $\lambda\phi^4$ potential is studied in detail. We find that the self interaction efficiently drives the initial pure state into a mixed one, 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 its amplitude. 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.

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