Abstract

We report on the first lattice calculation of the QCD phase transition using chiral fermions at physical values of the quark masses. This calculation uses 2+1 quark flavors, spatial volumes between (4 fm)3)^3 and (11 fm)3)^3 and temperatures between 139 and 196 MeV . Each temperature was calculated using a single lattice spacing corresponding to a temporal Euclidean extent of Nt=8N_t=8. The disconnected chiral susceptibility, χdiscχ_{\rm disc} shows a pronounced peak whose position and height depend sensitively on the quark mass. We find no metastability in the region of the peak and a peak height which does not change when a 5 fm spatial extent is increased to 10 fm. Each result is strong evidence that the QCD ``phase transition'' is not first order but a continuous cross-over for mπ=135m_π=135 MeV. The peak location determines a pseudo-critical temperature Tc=155(1)(8)T_c = 155(1)(8) MeV. Chiral SU(2)L×SU(2)RSU(2)_L\times SU(2)_R symmetry is fully restored above 164 MeV, but anomalous U(1)AU(1)_A symmetry breaking is non-zero above TcT_c and vanishes as TT is increased to 196 MeV.

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