The nature of the finite temperature QCD transition as a function of the quark masses

Abstract

The finite temperature QCD transition for physical quark masses is a crossover. For smaller quark masses a first-order phase transition is expected. Using Symanzik improved gauge and stout improved fermion action for 2+1 flavour staggered QCD we give estimates/bounds for the phase line separating the first-order region from the crossover one. The calculations are carried out on two different lattice spacings. Our conclusion for the critical mass is $m_0\lesssim 0.07\cdot m_{phys}$ for $N_T=4$ and $m_0\lesssim 0.12\cdot m_{phys}$ for $N_T=6$ lattices.

Comments: Talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany. 7 pages, 6 figures