Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-06-10
Int.J.Mod.Phys. D6 (1997) 305-322
Astronomy and Astrophysics
Astrophysics
21 pages, 7 postscript figures, using revtex
Scientific paper
10.1142/S0218271897000169
We study thermally induced density perturbations during inflation. This scenario is characterized by two thermodynamical conditions: (1) The primordial perturbations originate in the epoch when the inflationary universe contains a thermalized heat bath. (2) The perturbations of the inflationary scalar field are given by the fluctuation-dissipation relation. We show that the spectrum of the primordial perturbations is of power law, but tilted, and there is a relation between the amplitude and the index of the power spectrum. Aside from the mass scale of the inflation, the amplitude-index relation does not depend on other parameters like $g$-factor. These results are found to be well consistent with observations of the temperature fluctuations of cosmic microwave background if the mass scale of the inflation is about $10^{15}$ GeV. Instead of the purely adiabatic case, the consequent density perturbation is an admixture of adiabatic and isocurvature one. Therefore, the detection of super-Hubble suppression of the spectrum would be effective for further discrimination between the thermally originated models and others.
Fang Li-zhi
Lee Wolung
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