Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions

Abstract

The $\mathrm{SU}(3)$ pure gauge theory exhibits a first-order thermal deconfinement transition due to spontaneous breaking of its global $Z_3$ center symmetry. When heavy dynamical quarks are added, this symmetry is broken explicitly and the transition weakens with decreasing quark mass until it disappears at a critical point. We compute the critical hopping parameter and the associated pion mass for lattice QCD with $N_f=2$ degenerate standard Wilson fermions on $N_{\tau }\in \{6,8,10\}$ lattices, corresponding to lattice spacings $a=0.12\mathrm{fm}$, $a=0.09\mathrm{fm}$, $a=0.07\mathrm{fm}$, respectively. Significant cut-off effects are observed, with the first-order region growing as the lattice gets finer. While current lattices are still too coarse for a continuum extrapolation, we estimate $m_{\pi }^c\approx 4\mathrm{GeV}$ with a remaining systematic error of $\sim 20\%$. Our results allow to assess the accuracy of the LO and NLO hopping expanded fermion determinant used in the literature for various purposes. We also provide a detailed investigation of the statistics required for this type of calculation, which is useful for similar investigations of the chiral transition.

12 pages, 6 figures, minor changes to match the version published in PRD

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Cited by in corpus (13)

• On the order of the QCD chiral phase transition for different numbers of quark flavours
• QCD phase transitions in the light quark chiral limit
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Finite-size scaling around the critical point in the heavy quark region of QCD
• Finite temperature properties of QCD with two flavors and three, four and five colors
• Topological features of the deconfinement transition
• Scope and convergence of the hopping parameter expansion in finite temperature QCD with heavy quarks around the critical point
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Strong coupling methods in QCD thermodynamics
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Phase structure of heavy dense lattice QCD and the three-state Potts model
• Approaching the Continuum Limit of the Deconfinement Critical Point for $N_{\text{f}}=2$ Staggered Fermions
• QCD in the heavy dense regime: Large $N_c$ and quarkyonic matter