Topological susceptibility and QCD phase transition with 2+1 flavor Möbius domain wall fermion at finite temperature

Abstract

The topological susceptibility is one of the quantities that has a large discretization error, and the error can be sensitive to the choice of fermion action. We report on our results from physical point simulations with 2+1 flavor Möbius domain wall fermion at finite temperature. We also present the chiral condensate and disconnected susceptibility. The temporal lattice size is Nt=12 and 16, and the temperature range is around 140 MeV to 250 MeV for the chiral condensate and susceptibility. A coarse lattice with Nt = 10 covers up to 500 MeV to measure the topological susceptibility.

Figures (5)

• Figure 1: Chiral condensate of light quarks after multiplicative and additive renormalization (left) and chiral susceptibility after multiplicative renormalization.
• Figure 2: Flow time dependence of the topological charge squared.
• Figure 3: Distribution of the topological charge. The numbers denoted in red in each panel refer to the number of configurations with non-zero charges after rounding to an integer, and the measured configurations.
• Figure 4: Temperature dependence of the 4th root of topological susceptibility. From coarse lattice to fine lattice: yellow ($N_t=10$), red ($N_t=12$), and blue ($N_t=16$). The $T=0$ value is taken from Aoki:2017paw.
• Figure 5: The lattice spacing dependence of the topological susceptibility at $T=250$ MeV.