Confinement in Three Dimensions and the Electroweak Phase Transition

Abstract

The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass $m_H^c$. Based on a renormalization group improved effective potential we find $m_H^c\sim$ 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.

9 pages, DESY-94-045, 4 figures can be obtained via e-mail from [email protected]

References in corpus (3)

• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• On Non-Perturbative Effects at the High-Temperature Electroweak Phase Transition

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• Thermal Phase Mixing During First Order Phase Transitions
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• Renormalization Group Properties of Higher-Derivative Quantum Gravity with Matter in $4-\epsilon$ Dimensions
• Subcritical Fluctuations at the Electroweak Phase Transition
• Baryogenesis in Brief
• Epsilon-expansion in quantum field theory in curved spacetime