TY - JOUR
T1 - The QCD transition temperature
T2 - Results with physical masses in the continuum limit
AU - Aoki, Y.
AU - Fodor, Z.
AU - Katz, S. D.
AU - Szabó, K. K.
N1 - Funding Information:
We thank F. Csikor, J. Kuti and L. Lellouch for useful discussions. We thank P. Petreczky for critical reading of the manuscript. This research was partially supported by OTKA Hungarian Science Grants Nos. T34980, T37615, M37071, T032501, AT049652, by DFG German Research Grant No. FO 502/1-1 and by the EU Research Grant No. RII3-CT-20040506078. The computations were carried out on the 370 processor PC cluster of Eötvös University, on the 1024 processor PC cluster of Wuppertal University, on the 107 node PC cluster equipped with Graphical Processing Units at Wuppertal University and on the BlueGene/L at FZ Jülich. We used a modified version of the publicly available MILC code [22] with next-neighbor communication architecture for PC-clusters [23] .
PY - 2006/11/30
Y1 - 2006/11/30
N2 - The transition temperature (Tc) 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 (mu d) and for the strange quark (ms). Four sets of lattice spacings (Nt = 4, 6, 8 and 10) were used to carry out a continuum extrapolation. It turned out that only Nt = 6, 8 and 10 can be used for a controlled extrapolation, Nt = 4 is out of the scaling region. Since the QCD transition is a non-singular cross-over there is no unique Tc. Thus, different observables lead to different numerical Tc values even in the continuum and thermodynamic limit. The peak of the renormalized chiral susceptibility predicts Tc = 151 (3) (3) MeV, wheres Tc-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.
AB - The transition temperature (Tc) 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 (mu d) and for the strange quark (ms). Four sets of lattice spacings (Nt = 4, 6, 8 and 10) were used to carry out a continuum extrapolation. It turned out that only Nt = 6, 8 and 10 can be used for a controlled extrapolation, Nt = 4 is out of the scaling region. Since the QCD transition is a non-singular cross-over there is no unique Tc. Thus, different observables lead to different numerical Tc values even in the continuum and thermodynamic limit. The peak of the renormalized chiral susceptibility predicts Tc = 151 (3) (3) MeV, wheres Tc-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.
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U2 - 10.1016/j.physletb.2006.10.021
DO - 10.1016/j.physletb.2006.10.021
M3 - Article
AN - SCOPUS:33750953636
SN - 0370-2693
VL - 643
SP - 46
EP - 54
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1
ER -