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

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arxiv hep-ph/9805333 v1 pith:6RDKUCGR submitted 1998-05-15 hep-ph astro-ph

classification hep-phastro-ph
keywords temperaturecoarse-graineddistributionfieldfinitefunctionprobabilityscalar
verification ladder T0 review T1 audit T2 compute T3 formal
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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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