Non-Perturbative QED and QCD at Finite Temperature

Abstract

We present results of numerical solutions of Schwinger-Dyson equations for the finite-temperature quark and electron propagators. It is shown that both strongly coupled QED and QCD undergo a chiral symmetry restoring phase transition as the temperature is increased. We go beyond the bare vertex or "rainbow" approximation by applying the finite-temperature Ward-Takahashi identity to constrain the non-perturbative vertex function.

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