The QCD phase diagram for three-flavor Möbius domain-wall fermions
Abstract
We investigate the phase transition of Quantum Chromodynamics (QCD) with three degenerate quark flavors at zero baryon chemical potential. Using Möbius domain-wall fermions as the lattice fermion formulation, we ensure excellent chiral symmetry preservation. Our simulations are performed at three different temporal lattice extents, Nt=6, 8, 12, with a fixed lattice spacing a=0.1361(20) fm, corresponding to temperatures of 242(4), 181(3), and 121(2) MeV, respectively. We explore a range of quark masses and spatial volumes with aspect ratios Ns/Nt spanning from 2 to 4. By analyzing the mass and volume dependencies of the plaquette, plaquette susceptibility, chiral condensate, chiral susceptibilities, and Binder cumulant, we identify the pseudocritical transition quark masses from our largest lattice volumes. For Nt=6, this is 184(10) MeV (determined from the plaquette susceptibility). For Nt=8 and 12, the transition points vary slightly depending on whether the total or disconnected chiral susceptibility is used, yielding ranges of 36(1)-39.1(9) MeV and 3.5(3)-3.7(2) MeV, respectively, in the MS̅ scheme at a scale of μ=2 GeV. The negligible volume dependence at Nt=6 and 8, combined with finite-size scaling analysis at Nt=12 revealing volume growth significantly weaker than expected for a first- or second-order phase transition, points to a continuous crossover at these specific quark mass points. Additionally, we study the effects of residual chiral symmetry breaking on the chiral condensate and chiral susceptibilities using two different values of Ls.
Versions
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BibTeX
@misc{zhang2026phase,
title = {{The QCD phase diagram for three-flavor Möbius domain-wall fermions}},
author = {Yu Zhang and Yasumichi Aoki and Jishnu Goswami and Shoji Hashimoto and Issaku Kanamori and Takashi Kaneko and Yoshifumi Nakamura},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28086},
eprint = {2606.28086},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28086},
}
RIS
TY - UNPB
TI - The QCD phase diagram for three-flavor Möbius domain-wall fermions
AU - Yu Zhang
AU - Yasumichi Aoki
AU - Jishnu Goswami
AU - Shoji Hashimoto
AU - Issaku Kanamori
AU - Takashi Kaneko
AU - Yoshifumi Nakamura
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2606.28086
UR - https://arxiv.org/abs/2606.28086
AB - We investigate the phase transition of Quantum Chromodynamics (QCD) with three degenerate quark flavors at zero baryon chemical potential. Using Möbius domain-wall fermions as the lattice fermion formulation, we ensure excellent chiral symmetry preservation. Our simulations are performed at three different temporal lattice extents, N_t=6, 8, 12, with a fixed lattice spacing a=0.1361(20) fm, corresponding to temperatures of 242(4), 181(3), and 121(2) MeV, respectively. We explore a range of quark masses and spatial volumes with aspect ratios N_s/N_t spanning from 2 to 4. By analyzing the mass and volume dependencies of the plaquette, plaquette susceptibility, chiral condensate, chiral susceptibilities, and Binder cumulant, we identify the pseudocritical transition quark masses from our largest lattice volumes. For N_t=6, this is 184(10) MeV (determined from the plaquette susceptibility). For N_t=8 and 12, the transition points vary slightly depending on whether the total or disconnected chiral susceptibility is used, yielding ranges of 36(1)-39.1(9) MeV and 3.5(3)-3.7(2) MeV, respectively, in the MS̅ scheme at a scale of μ=2 GeV. The negligible volume dependence at N_t=6 and 8, combined with finite-size scaling analysis at N_t=12 revealing volume growth significantly weaker than expected for a first- or second-order phase transition, points to a continuous crossover at these specific quark mass points. Additionally, we study the effects of residual chiral symmetry breaking on the chiral condensate and chiral susceptibilities using two different values of L_s.
ER -