THERMODYNAMICS OF THE ELECTROWEAK PHASE TRANSITION

Abstract

We discuss several general aspects of the free energy of the standard model at high temperatures. In particular the Clausius-Clapeyron equation is shown to yield a relation between the latent heat and the jump in the order parameter. The free energy is calculated as function of temperature in resummed perturbation theory to two-loop order. A new resummation procedure is proposed in which the symmetric phase and the Higgs phase are treated differently. A quantitative description of the phase transition is achieved for Higgs masses below $\sim 70$ GeV. The results are found to be in agreement with recent numerical simulations on large lattices. The phase transition provides no evidence for strong non-perturbative effects in the symmetric phase.

22 pages, 9 figures (as .uu files), ps file available by anonymous ftp at ftp://x4u2.desy.de/pub/preprints/desy/1995/desy95-028.ps

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• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
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• Partial Path Integration of Quantum Fields: Two-Loop Analysis of the SU(2) Gauge-Higgs Model at Finite Temperature
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• Fluctuations and Bubble Dynamics in First-Order Phase Transitions
• The SU(2)-Higgs model on asymmetric lattices
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• Four-dimensional Simulation of the Hot Electroweak Phase Transition with the SU(2) Gauge-Higgs Model
• Electroweak phase transition by four dimensional simulations
• Perturbative and non-perturbative studies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings
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• How to approach continuum physics in lattice Weinberg - Salam model
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• Gauge Invariance of Resummation Schemes: The QCD Partition Function
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models
• Electroweak phase transition and some related phenomena- a brief review
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