Partial Path Integration of Quantum Fields: Two-Loop Analysis of the SU(2) Gauge-Higgs Model at Finite Temperature

Abstract

High temperature reduction of the SU(2) Higgs model is realised by partially integrating its partition function. Various approximate forms of the effective theory resulting from the integration over nonstatic fields and the static electric potential are analysed. Also non-polynomial and non-local terms are allowed. Consistency of the perturbative solution is ensured by new types of induced counterterms. Perturbative phase transition characteristics are presented in the Higgs mass range 30-120 GeV, and compared to results of other perturbative approaches.

LaTeX, 45 pages

References in corpus (15)

• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
• Finite Temperature Effective Potential to Order $g^4,\la^2$ and the Electroweak Phase Transition
• Effective Theories of MSSM at High Temperature
• Supersymmetric Electroweak Phase Transition: Beyond Perturbation Theory
• Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories
• THERMODYNAMICS OF THE ELECTROWEAK PHASE TRANSITION
• Aspects of the Cosmological Electroweak Phase Transition
• Perfect 3-Dimensional Lattice Actions for 4-Dimensional Quantum Field Theories at Finite Temperature
• REDUCTION OF THE N-COMPONENT SCALAR MODEL AT TWO LOOP LEVEL
• Controlling a Non-Polynomial Reduced Finite Temperature Action in the U(1) Higgs Model

Cited by in corpus (16)

• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• The MSSM Electroweak Phase Transition on the Lattice
• Thermodynamics of Non-Topological Solitons
• A Strong Electroweak Phase Transition up to m_H ~ 105 GeV
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Gauge-invariant scalar and field strength correlators in 3d
• Two-loop dimensional reduction and effective potential without temperature expansions
• Scalar-gauge dynamics in (2+1) dimensions at small and large scalar couplings
• High Temperature Dimensional Reduction and Parity Violation
• Inverse Symmetry Breaking with 4d Lattice Simulations
• Electroweak Phase Transition in the MSSM: 4-Dimensional Lattice Simulations
• Stop comparing resummation methods
• Classical Limit for Scalar Fields at High Temperature
• Viscosity of the Scalar Fields from the Classical Theory
• The finite temperature real time \hbar^2 corrections in quantum mechanics
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models