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We show a gauge parameter dependence of the 1-loop fermion self energy atfinite temperature before the analytic continuation. We also show a gaugeparameter dependence of only the temperature dependence term. The result is thesame as the ladder approximation Schwinger-Dyson equation. The wave functionrenormalization constant approaches 1 by taking a negative gauge parameter. Theanalogy of the ladder approximation Schwinger-Dyson equation and the 1-loopcalculation will help the analysis of the phase transition.

Gauge Parameter Dependence of the 1-loop Fermion Self Energy at Finite Temperature