The QCD transition temperature: results with physical masses in the continuum limit

Y. Aoki; Z. Fodor; S. D. Katz; K. K. Szabo

doi:10.1016/j.physletb.2006.10.021

paper

The QCD transition temperature: results with physical masses in the continuum limit

arXiv:hep-lat/0609068 · doi:10.1016/j.physletb.2006.10.021

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 $T$ $\neq =$ 0 transition, though other lattice fermion formulations (e.g. Wilson) are needed to cross-check them.

13 pages 5 figures. Final version, published in Phys.Lett.B

The QCD transition temperature: results with physical masses in the continuum limit

Abstract

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