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Frank Eberlein

Publications and source records attributed to Frank Eberlein.

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

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 $σ$-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.

hep-ph

Two-Loop Gap Equations for the Magnetic Mass

One-loop gap equations have recently been used by several authors to estimate the non-perturbative mass gap in a 3-dimensional gauge theory. I extend the method to two loops and demonstrate, that the resulting gap equation has a real and positive solution $m \simeq 0.34 g^2$, which is in good agreement with the one-loop results and lattice data.

hep-ph