3D Physics and the Electroweak Phase Transition: Perturbation Theory

Abstract

We develop a method for the construction of the effective potential at high temperatures based on the effective field theory approach and renormalization group. It allows one to sum up the leading logarithms in all orders of perturbation theory. The method reproduces the known one-loop and two-loop results in a very simple and economic way and clarifies the issue of the convergence of the perturbation theory. We also discuss the assumptions being made for the determination of the critical temperature of the electroweak phase transition, and analyse different perturbative uncertainties in its determination. These results are then used for the non-perturbative lattice Monte Carlo simulations of the EW phase transition in forthcoming paper.

44 pages, preprint CERN-TH.6973/94

References in corpus (5)

• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• On Non-Perturbative Effects at the High-Temperature Electroweak Phase Transition
• Some Two-Loop Corrections to the Finite Temperature Effective Potential in the Electroweak Theory
• On the Possibility of Second-Order Phase Transitions in Spontaneously Broken Gauge Theories

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