Finite Temperature Phase Diagramm of QCD with improved Wilson fermions

We present first results of a study of two flavour QCD with Wilson fermions at finite temperature. We have used tree level Symanzik improvement in both the gauge and fermion part of the action. In a first step we explore the phase diagramm on an $8^3\times 4$ lattice, with particular emphasis on checking Aoki’s conjecture with an improved action.