On the Phase Structure of the 3D SU(2)--Higgs Model and the Electroweak Phase Transition

Abstract

The phase structure of the 3D SU(2)--Higgs model, the dimensionally reduced effective theory for the electroweak model at finite temperature, is analysed on the lattice using a variant of the linear $\de$--expansion. We develop a systematic variational cumulant expansion for general application to the study of gauge invariant operators in 3D gauge-Higgs models, with emphasis on the symmetric phase. In particular, the technique is not restricted to finite lattice volumes, and application to the fundamental 3D SU(2)--Higgs model allows the discontinuity of certain observables across the first--order transition to be observed directly for small 4D Higgs masses. The resulting phase structure agrees well with Monte Carlo simulations for small Higgs masses, but, at least to the order calculated, the technique is less sensitive to the expected evolution of the transition to a crossover for Higgs masses above 80 GeV.

arXiv comment25 pages, RevTeX, 6 postscript figures

References in corpus (18)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• A Non-Perturbative Analysis of the Finite T Phase Transition in SU(2)xU(1) Electroweak Theory
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Where the electroweak phase transition ends
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• On the Mass Spectrum of the SU(2) Higgs Model in 2+1 Dimensions
• Gauge Boson Masses in the 3-d, SU(2) Gauge-Higgs Model
• Magnetic Screening in the High Temperature Phase of the Standard Model
• Critical Higgs Mass and Temperature Dependence of Gauge Boson Masses in the SU(2) Gauge-Higgs Model
• On the Phase Diagram of the SU(2) Adjoint Higgs Model in 2+1 Dimensions
• 3--Dimensional Lattice Studies of the Electroweak Phase Transition at M_{Higgs} approx 70 GeV
• The Electroweak Phase Transition through the Renormalization Group
• Numerical tests of the electroweak phase transition and thermodynamics of the electroweak plasma
• Extended Variational Approach to the SU(2) Mass Gap on the Lattice
• Four-dimensional Simulation of the Hot Electroweak Phase Transition with the SU(2) Gauge-Higgs Model
• Mass Spectrum of the 3d SU(2) Higgs Model and the Symmetric Electroweak Phase

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• The Effect of Weak Interactions on the Ultra-Relativistic Bose-Einstein Condensation Temperature
• Non-perturbative calculations of a global U(1) theory at finite density and temperature
• The Renormalized Thermal Mass with Non-Zero Charge Density
• Multiplicative anomaly and finite charge density