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The high-temperature limit of the 2-loop effective potential for the Higgsfield is calculated from an effective 3d theory, in a general covariant gauge.It is shown explicitly that a gauge-independent result can be extracted for theequation of state from the gauge-dependent effective potential. The convergenceof perturbation theory is estimated in the broken phase, utilizing the gaugedependence of the effective potential.Comment: 13 LaTeX-pages + 2 ps-figure (Instructions added to uudecode the  ps-file.

Gauge dependence of the high-temperature two-loop effective potential for the Higgs field