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arXiv · 2501.15494

Three flavor QCD phase transition with M\"obius domain wall fermions

Yu Zhang·Yasumichi Aoki·Shoji Hashimoto·Issaku Kanamori·Takashi Kaneko·Yoshifumi Nakamura
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Abstract

We present an updated study of the $N_f=3$ QCD phase transition using M\"{o}bius domain wall fermions. Simulations were performed on $N_t=12$ lattices with aspect ratios ranging from 2 to 4 for various quark masses, at a lattice spacing of $a=0.1361(20)$ fm, corresponding to a temperature of 121(2) MeV. To clarify the nature of the phase transition, a large-volume lattice, $48^3 \times 12\times 16$, was added to analyze the volume dependence of disconnected chiral susceptibility. By examining the chiral condensate, disconnected chiral susceptibility, and Binder cumulant, and incorporating results from $24^3 \times 12 \times 16$ and $36^3 \times 12 \times 16$ lattices reported in earlier studies, we observe that the transition is consistent with a crossover at a quark mass of approximately $m_f^{\mathrm{\overline {MS}}}(2\, \mathrm{GeV}) \sim 4$ MeV at this temperature. Furthermore, we discuss the effects of residual chiral symmetry breaking on the chiral condensate and disconnected chiral susceptibility for different sizes in the 5th direction.

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Yu Zhang, Yasumichi Aoki, Shoji Hashimoto, Issaku Kanamori, Takashi Kaneko, Yoshifumi Nakamura. 2025-01-26. Three flavor QCD phase transition with M\"obius domain wall fermions. https://arxiv.org/abs/2501.15494

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