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The thermal QCD transition with two flavours of twisted mass fermions

# The thermal QCD transition with two flavours of twisted mass fermions,Florian Burger,E.-M. Ilgenfritz,Malik Kirchner,M. P. Lombardo,M. Muller-Preusske

The thermal QCD transition with two flavours of twisted mass fermions
We investigate the thermal QCD transition with two flavours of maximally twisted mass fermions for a set of pion masses, 300 MeV $<m_\pi<500$ MeV, with lattice spacings $a<0.09$ fm. We determine the pseudo-critical temperatures and discuss their extrapolation to the chiral limit using scaling forms for different universality classes, as well as the scaling form for the magnetic equation of state. Pions with $m_\pi\gsim 400$ MeV show violations of O(4) scaling that cannot be accomodated by the leading corrections, while the smaller masses are consistent with O(4) scaling plus leading corrections. However, a true distinction between the O(4) scenario and a first order scenario in the chiral limit requires lighter pions than are currently in use in simulations of Wilson fermions.