### Abstract

The transition temperature (T_{c}) of QCD is determined by Symanzik improved gauge and stout-link improved staggered fermionic lattice simulations. We use physical masses both for the light quarks (m_{u d}) and for the strange quark (m_{s}). Four sets of lattice spacings (N_{t} = 4, 6, 8 and 10) were used to carry out a continuum extrapolation. It turned out that only N_{t} = 6, 8 and 10 can be used for a controlled extrapolation, N_{t} = 4 is out of the scaling region. Since the QCD transition is a non-singular cross-over there is no unique T_{c}. Thus, different observables lead to different numerical T_{c} values even in the continuum and thermodynamic limit. The peak of the renormalized chiral susceptibility predicts T_{c} = 151 (3) (3) MeV, wheres T_{c}-s based on the strange quark number susceptibility and Polyakov loops result in 24(4) MeV and 25(4) MeV larger values, respectively. Another consequence of the cross-over is the non-vanishing width of the peaks even in the thermodynamic limit, which we also determine. These numbers are attempted to be the full result for the T ≠ 0 transition, though other lattice fermion formulations (e.g. Wilson) are needed to cross-check them.

Original language | English |
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Pages (from-to) | 46-54 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 643 |

Issue number | 1 |

DOIs | |

Publication status | Published - Nov 30 2006 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics