M. Yamaguchi et J. Yokoyama, PROBABILITY-DISTRIBUTION FUNCTION OF THE COARSE-GRAINED SCALAR FIELD AT FINITE-TEMPERATURE, Nuclear physics. B, 523(1-2), 1998, pp. 363-376
We present a formalism to calculate the probability distribution funct
ion of a scalar field coarse-grained over some spatial scales with a G
aussian filter at finite temperature. As an application, we investigat
e the role of subcritical fluctuations in the electroweak phase transi
tion 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 t
emperature. (C) 1998 Elsevier Science B.V.