### 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 |
---|---|

Pages (from-to) | 46-54 |

Number of pages | 9 |

Journal | Physics Letters B |

Volume | 643 |

Issue number | 1 |

DOIs | |

Publication status | Published - Nov 30 2006 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*643*(1), 46-54. https://doi.org/10.1016/j.physletb.2006.10.021

**The QCD transition temperature : Results with physical masses in the continuum limit.** / Aoki, Y.; Fodor, Z.; Katz, S.; Szabó, K. K.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 643, no. 1, pp. 46-54. https://doi.org/10.1016/j.physletb.2006.10.021

}

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.

AU - Szabó, K. K.

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.

UR - http://www.scopus.com/inward/record.url?scp=33750953636&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750953636&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.10.021

DO - 10.1016/j.physletb.2006.10.021

M3 - Article

AN - SCOPUS:33750953636

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

SN - 0370-2693

IS - 1

ER -