2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133072Based on the hard-thermal-loop resummed improved ladder Dyson-Schwinger quation for the fermion mass function, we propose a procedure how we can get the gauge invariant solution in the sense it satisfies the Ward-Takahashi identity. Results of the numerical analysis are shown and properties of the ``gauge-invariant'' solutions are discussed.3 figures, to appear in Proceedins of the Int. Workshop on Strong Coupling Quark Gluon Plasma (sQGP07), Nagoya University, Japan, February, 2007High Energy Physics - Phenomenologytext