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

By Y. Aoki, S. Borsányi, S. Dürr, Zoltán Fodor, Sándor D. Katz, S. Krieg, Kálmán K. Szabó. 2006

958 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6579cbf0af6e71de97d94b84c97e4bc12b5da57f

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Citations in the corpus

The QCD phase diagram at nonzero quark density (2011, methodology): “In refs. [2, 5 ] it was shown that for the various observables used for Tc determination, finite size effects are negligible for aspect ratios Ns/Nt ≥ 3. This does not necessarily mean, that the µ derivatives of these quantities are also volume independent.”
Inverse magnetic catalysis in dense holographic matter (2010, background): “What is the range of magnetic fields in physical units for which IMC occurs? For a rough estimate let us match the b = 0 values of our critical temperature at μ = 0 and our critical chemical potential at t = 0 to the approximate values from QCD, Tc ≃ 150MeV and μq,c ∼ 400MeV (the former is in fact a”
The phase diagram of dense QCD (2010, background): “(3) 151(3)(3) MeV and 176(3)(4) MeV for 2 + 1 flavours in the stout-link improved staggered action with Nt up to 10 determined by χm/T 4 and χL respectively [101].”
Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III (2010, methodology): “Again, we do not say [7, 8] that there are two phase transitions and one of them is at a lower temperature than the other.”
Light Hadron Masses from Lattice QCD (2012, methodology): “In (Aoki et al., 2010), the PACS-CS collaboration has reweighted one ensemble to the physical point directly while the RBC-UKQCD collaboration (Aoki et al., 2011) followed a mixed strategy where the ensembles were first reweighted to the physical strange quark mass and a subsequent extrapolation to ”
The QCD phase diagram for external magnetic fields (2011, methodology): “We note that our results at B = 0 are all consistent with earlier determinations of the pseudocritical temperature where the stout smeared staggered lattice action was used [51, 59, 60].”
Axion cosmology revisited (2009, methodology): “Recent lattice data suggests that the QCD phase transition is a cross-over rather than a sharp phase transition [5].”
The QCD equation of state with dynamical quarks (2010, methodology): “We work again with physical light and strange quark masses: we fix them by reproducing the physical ratios mπ/fK and mK/fK for the lightest staggered tastes of these mesons and by this procedure [22] we get ms/mu,d = 28.”
Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “123) for QCD at physical quark masses [214].”