Probability Distribution Function of the Coarse-grained Scalar Field at Finite Temperature

Details Probability Distribution Function of the Coarse-grained Scalar Field at Finite Temperature Probability Distribution Function of the Coarse-grained Scalar Field at Finite Temperature

1998-05-15

arxiv.org/abs/hep-ph/9805333v1

Nucl.Phys. B523 (1998) 363-376

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, uuencode, gzipped tar file including LaTeX text and 4 postscript figures. Nuclear Physics B, in press

Scientific paper

10.1016/S0550-3213(98)00100-X

We present a formalism to calculate the probability distribution function of a scalar field coarse-grained over some spatial scales with a Gaussian filter at finite temperature. As an application, we investigate the role of subcritical fluctuations in the electroweak phase transition in the minimal standard model. It is concluded that the universe was in a mixed state of true and false vacua already at the critical temperature.

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