A Hierarchy of Effective Field Theories of Hot Electroweak Matter

Abstract

Abst\-ract: A hierarchy of effective three-dimensional theories of finite temperature electroweak matter is studied. First an integration over non-static modes leads to an effective theory containing a gauge field $A_i^a$, an adjoint Higgs field $A_0^a$ and the fundamental Higgs field ${\varphi }_{\alpha }$. We carry out the integration in the 1-loop approximation, study renormalisation effects and estimate quantitatively those terms of the effective action which are suppressed by inverse powers of the temperature. Secondly, because of the existence of well-separated thermal mass scales, $A_0^a$ can be integrated over, and finally also ${\varphi }_{\alpha }$, leaving an effective theory of the $A_i^a$.In the analysis of the subsequent models particular attention is paid to the screening of the magnetic fluctuations due to the integrated-out degrees of freedom. Files of 2 Tables and 4 Figures are available in (la)tex-format upon request

15 pages, HU-TFT-94-01

References in corpus (6)

• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• On the nature of the electroweak phase transition
• The $\epsilon$-expansion and the electroweak phase transition
• Critical Behavior in the Electroweak Phase Transition
• Weak Coupling Phase Structureof the Abelian Higgs Model at Finite Temperature

Cited by in corpus (42)

• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• 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
• The universality class of the electroweak theory
• The Standard Model cross-over on the lattice
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• The MSSM Electroweak Phase Transition on the Lattice
• Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• Finite Temperature Effective Potential to Order $g^4,\la^2$ and the Electroweak Phase Transition
• Effective Theories of MSSM at High Temperature
• The baryogenesis window in the MSSM
• The 2-loop MSSM finite temperature effective potential with stop condensation
• Thermodynamics of Non-Topological Solitons
• Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
• On the Mass Spectrum of the SU(2) Higgs Model in 2+1 Dimensions
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Gauge Dependence of the High-Temperature 2-Loop Effective Potential for the Higgs Field
• The Sphaleron Rate through the Electroweak Cross-over
• Combining thermal resummation and gauge invariance for electroweak phase transition
• Gauge Boson Masses in the 3-d, SU(2) Gauge-Higgs Model
• Diagrammatic approach to soft non-Abelian dynamics at high temperature
• On the Phase Diagram of the SU(2) Adjoint Higgs Model in 2+1 Dimensions
• Interactions between $U(1)$ Cosmic Strings: An Analytical Study
• On One-Loop Gap Equations for the Magnetic Mass in d=3 Gauge Theory
• The High-Temperature Two-Loop Effective Potential of the Electroweak Theory in a General 't Hooft Background Gauge
• Effective Scalar Field Theory for the Electroweak Phase Transition
• Two-Loop Gap Equations for the Magnetic Mass
• Fermion Fluctuation Determinant and Sphaleron Bound
• The Free Energy of High Temperature QED to Order $e^5$ From Effective Field Theory
• Perfect 3-Dimensional Lattice Actions for 4-Dimensional Quantum Field Theories at Finite Temperature
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• REDUCTION OF THE N-COMPONENT SCALAR MODEL AT TWO LOOP LEVEL
• The Sphaleron Rate in the "Symmetric" Electroweak Phase
• Comparison of 4d and 3d Lattice Results for the Electroweak Phase Transition
• The SU(2)-Higgs model on asymmetric lattices
• Electroweak Sphaleron in a Magnetic field
• Controlling a Non-Polynomial Reduced Finite Temperature Action in the U(1) Higgs Model
• Perturbative and non-perturbative studies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models