Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-03-12
Phys.Lett. B306 (1993) 10-18
Physics
High Energy Physics
High Energy Physics - Phenomenology
12pages
Scientific paper
10.1016/0370-2693(93)91130-F
We consider the evolution of the probability distribution $\pp (\chi ,\chib, \t)$, associated with an inhomogeneous light scalar field $\chi$ in the Robertson-Walker Universe, where the inhomogeneities are produced by quantum fluctuations during an earlier inflationary epoch. For a specific choice of scalar potential which occurs in models of so called late-time phase transitions in which domain walls are produced, $\pp$ is shown to evolve from a Gaussian to a non-Gaussian distribution. The structure of the latter justifies the recent use of 3-dimensional percolation theory to describe the initial distribution of domain walls in these models.
Lalak Zygmunt
Thomas Steven
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