Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-12-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Plain Tex, 32 pages. This is a reprint of a 1992 conference talk published in 1993. It is related to two later papers on simil
Scientific paper
We address two basic issues in the theory of galaxy formation from fluctuations of quantum fields: 1) the nature and origin of noise and fluctuations and 2) the conditions for using a classical stochastic equation for their description. On the first issue, we derive the influence functional for a $\lambda \phi^4 $ field in a zero-temperature bath in de Sitter universe and obtain the correlator for the colored noises of vacuum fluctuations. This exemplifies a new mechanism we propose for colored noise generation which can act as seeds for galaxy formation with non-Gaussian distributions. For the second issue, we present a (functional) master equation for the inflaton field in de Sitter universe. By examining the form of the noise kernel we study the decoherence of the long-wavelength sector and the conditions for it to behave classically.
Hu Liang-Bin
Paz Juan Pablo
Zhang Yuhong
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