The Gauge-Higgs System in Three Dimensions to Two-loop Order

Abstract

The 3-dimensional gauge-Higgs system describes the non-perturbative infrared effects of the high-temperature phase of the Standard Model. We calculate the two-loop self-energies in the 3-dimensional SU(2) Higgs model and in the corresponding gauged non-linear $\sigma$-model. As an application of the results, we estimate the dynamically generated vector boson mass in the symmetric phase of the Higgs model by means of gap equations.

30 pages, 6 figures, LaTeX

References in corpus (3)

• On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions
• On One-Loop Gap Equations for the Magnetic Mass in d=3 Gauge Theory
• Two-Loop Gap Equations for the Magnetic Mass

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• The Finite Temperature SU(2) Savvidy Model with a Non-trivial Polyakov Loop
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• A conjecture on the infrared structure of the vacuum Schrodinger wave functional of QCD
• UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge
• On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions