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

Abstract

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.

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

References in corpus (1)

• Numerical approach to the onset of the electroweak phase transition

Cited by in corpus (5)

• Fate of oscillating scalar fields in the thermal bath and their cosmological implications
• Can oscillating scalar fields decay into particles with a large thermal mass?
• Supercooling and phase coexistence in cosmological phase transitions
• Thermal background can solve the cosmological moduli problem
• Effects of thermal fluctuations on thermal inflation