Critical endpoint of finite temperature phase transition for three flavor QCD

Abstract

We investigate the critical endpoint of finite temperature phase transition of $N_f=3$ QCD at zero chemical potential. We employ the renormalization-group improved Iwasaki gauge action and non-perturbatively $O(a)$-improved Wilson-clover fermion action. The critical endpoint is determined by using the intersection point of kurtosis for the temporal size $N_t$=4, 6, 8. Spatial sizes of $N_l$=6-16 ($N_t$=4), 10-24 ($N_t$=6), and 12-24 ($N_t$=8) are employed. We find that $N_t$=4 is out of the scaling region. Using results for $N_t$=6 and 8, and making linear extrapolations in $1/N_t^2$, we obtain $\sqrt{t_0}{T}_{\mathrm{E}}=0.0975(14)(8)$, $\sqrt{t_0}{m}_{\mathrm{PS},\mathrm{E}}=0.2254(52)(105)$ and $m_{\mathrm{PS},\mathrm{E}}/T_{\mathrm{E}}=2.311(63)(13)$, where the first error is statistical error, the second error is systematic error, and $m_{\mathrm{PS}}$ is the pseudo scalar meson mass. If one uses $1/\sqrt{t_0}=1.347(30)$ GeV reported by Borsanyi et al., one finds $T_{\mathrm{E}}=131(2)(1)(3)$ MeV, $m_{\mathrm{PS},\mathrm{E}}=304(7)(14)(7)$ MeV and $m_{\mathrm{PS},\mathrm{E}}/m_{\mathrm{PS},\mathrm{E}}^{\mathrm{phys},\mathrm{sym}}=0.739(17)(34)(17)$, where the third error comes from error of $\sqrt{t_0}$ and $m_{\mathrm{PS}}^{\mathrm{phys},\mathrm{sym}}=\sqrt{(m_{\pi }^2+2m_K^2)/3}$. Our current estimation of $\sqrt{t_0}{m}_{\mathrm{PS},\mathrm{E}}$ in the continuum limit is about 25% smaller than the SU(3) symmetric point.

arXiv comment24 pages, 14 figures

References in corpus (14)

• The chiral and deconfinement aspects of the QCD transition
• Properties and uses of the Wilson flow in lattice QCD
• High-precision scale setting in lattice QCD
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• The Chiral Critical Point in 3-Flavour QCD
• Optimized Verlet-like algorithms for molecular dynamics simulations
• QCD and the Chiral Critical Point
• Chronological Inversion Method for the Dirac Matrix in Hybrid Monte Carlo
• Nonperturbative $O(a)$ improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method
• Finite Temperature Transitions in Lattice QCD with Wilson Quarks --- Chiral Transitions and the Influence of the Strange Quark ---
• Phase structure of lattice QCD at finite temperature for 2+1 flavors of Kogut-Susskind quarks

Cited by in corpus (28)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• On the order of the QCD chiral phase transition for different numbers of quark flavours
• Chiral phase structure of three flavor QCD at vanishing baryon number density
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Mass sensitivity of the three-flavor chiral phase transition
• Nature of the phase transition for finite temperature $N_{\mathrm{f}}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=12$
• High-Temperature QCD: theory overview
• Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$
• QCD phase transitions in the light quark chiral limit
• Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Wilson fermions and $N_{\tau }=6$
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• End point of the first-order phase transition of QCD in the heavy quark region by reweighting from quenched QCD
• Towards the chiral phase transition in the Roberge-Weiss plane
• Second order chiral phase transition in three flavor quantum chromodynamics?
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• Background field method in the gradient flow
• Constraining the QCD phase diagram at finite temperature and density
• Exploring the nature of chiral phase transition in two-flavor QCD using extra heavy quarks
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Curvature of the critical line on the plane of quark chemical potential and pseudo scalar meson mass for three-flavor QCD
• Critical endline of the finite temperature phase transition for 2+1 flavor QCD around the SU(3)-flavor symmetric point
• Continuum extrapolation of the critical endpoint in 4-flavor QCD with Wilson-Clover fermions
• Thermodynamics with Möbius domain wall fermions near physical point II
• Phase structure of $N_{\mathrm{f}}=3$ QCD at finite temperature and density by Wilson-Clover fermions
• The $N_f=2$ chiral phase transition from imaginary chemical potential with Wilson Fermions
• Scalar correlators near the 3-flavor thermal critical point
• 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