Parameterisation (and Gauge) Invariance of the Transition Temperature

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The so-called Unitary Gauge Puzzle is re-examined in the light of a set of gauge dependence identities discovered by Kobes, Kunstatter and Rebhan. The ``puzzle'' is discovered to arise as an artifact of the gauge-variant and off-shell nature of the Effective Potential. An explicit analysis of the scalar sector of the Abelian Higgs model shows that the correct physical result is obtained in all cases provided that the calculation is performed self-consistently, and the result is evaluated on-shell.
7 pages in plain TeX, MIT-CTP-2258

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