Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$

Abstract

We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we employ the Iwasaki gauge action and the non-perturvatively O($a$) improved Wilson-Clover fermion action. We discuss the finite size scaling analysis including the mixing of magnetization-like and energy-like observables. We carry out the continuum extrapolation of the critical point using newly generated data at $N_{\mathrm{t}}=8$, $10$ and estimate the upper bound of the critical pseudo-scalar meson mass $m_{\mathrm{PS},\mathrm{E}}\lesssim 170\mathrm{MeV}$ and the critical temperature $T_{\mathrm{E}}=134(3)\mathrm{MeV}$. Our estimate of the upper bound is derived from the existence of the critical point as an edge of the 1st order phase transition while that of the staggered-type fermions is based on its absence.

arXiv comment13 pages, 6 figures

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• Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions
• Towards the chiral phase transition in the Roberge-Weiss plane
• Finite-size scaling around the critical point in the heavy quark region of QCD
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• Gravitational waves from chiral phase transition in a conformally extended standard model
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• Finite size and cut-off effects on the Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Staggered fermions
• Detecting scale anomaly in chiral phase transition of QCD: new critical endpoint pinned down
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• Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model
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• Continuum extrapolation of the critical endpoint in 4-flavor QCD with Wilson-Clover fermions
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• Critical endpoint in the continuum limit and critical endline at $N_{\mathrm{T}}=6$ of the finite temperature phase transition of QCD with clover fermions