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PreprintCC BY 4.0arXiv

Parameter dependence of the mapping of the mean-field Ising model onto QCD in the first-order phase transition regime

  • Xue Pan
  • Yuepeng Li
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Abstract

We map the mean-field Ising equation of state onto the QCD phase diagram and investigate how scaling parameters alter the metastable and unstable regions, as well as the symmetrized pressure and density along an isotherm on the QCD T−μB phase plane. We find that, for both the conventional mapping scheme and the scheme valid in the small-quark-mass limit, increasing the scaling parameters w and ρ narrows the metastable and unstable regions. In the small-quark-mass-limit scheme, larger w and ρ reduce both the Ising-symmetrized pressure and density. For the conventional scheme, increasing w reduces these quantities, while increasing ρ raises the Ising-symmetrized pressure and has only a small effect on the density.

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Cite

BibTeXRIS
BibTeX
@misc{pan2026parameter,
  title = {{Parameter dependence of the mapping of the mean-field Ising model onto QCD in the first-order phase transition regime}},
  author = {Xue Pan and Yuepeng Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27748},
  eprint = {2610.27748},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27748},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Parameter dependence of the mapping of the mean-field Ising model onto QCD in the first-order phase transition regime
AU  - Xue Pan
AU  - Yuepeng Li
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27748
UR  - https://arxiv.org/abs/2610.27748
AB  - We map the mean-field Ising equation of state onto the QCD phase diagram and investigate how scaling parameters alter the metastable and unstable regions, as well as the symmetrized pressure and density along an isotherm on the QCD T−μ_B phase plane. We find that, for both the conventional mapping scheme and the scheme valid in the small-quark-mass limit, increasing the scaling parameters w and ρ narrows the metastable and unstable regions. In the small-quark-mass-limit scheme, larger w and ρ reduce both the Ising-symmetrized pressure and density. For the conventional scheme, increasing w reduces these quantities, while increasing ρ raises the Ising-symmetrized pressure and has only a small effect on the density.
ER  -