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To quantify the universal properties of chiral phase transition in (2+1)-flavor QCD, we use an improved, renormalized order parameter for the chiral symmetry breaking. We construct ratios of this divergence-free order parameter from its values for different pairs of light quark masses. From this, we determine in a parameter-independent manner, the chiral phase transition temperature \(T_c\) and the associated critical exponent \(\delta \)  of the universality class. We present first numerical results of these calculations on \(N_\tau =8\) lattices, with staggered fermions.

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Towards a Parameter-Free Analysis of the QCD Chiral Phase Transition and Its Universal Critical behavior

  • 会议论文

  • 发表日期：

    2025年

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  • Sabarnya Mitra,
  • Frithjof Karsch

摘要

To quantify the universal properties of chiral phase transition in (2+1)-flavor QCD, we use an improved, renormalized order parameter for the chiral symmetry breaking. We construct ratios of this divergence-free order parameter from its values for different pairs of light quark masses. From this, we determine in a parameter-independent manner, the chiral phase transition temperature \(T_c\) and the associated critical exponent \(\delta \)  of the universality class. We present first numerical results of these calculations on \(N_\tau =8\) lattices, with staggered fermions.