旋转QCD物质的临界行为与临界指数
Critical behavior and critical exponents of rotating QCD matter
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中文总结 AI 辅助
在平均场近似的两味NJL模型中，研究旋转QCD物质的临界行为，确定温度-角速度平面内的相结构与临界终点，提取的有效临界指数满足标度关系，为旋转诱导临界现象及超越平均场近似的相关研究奠定基础。
中文摘要 AI 辅助
我们在平均场近似下的两味Nambu-Jona-Lasinio（NJL）模型框架内，研究了旋转强相互作用物质的热力学性质与临界行为。在温度-角速度（T, ω）平面内确定了相结构与临界终点（CEP）。通过分析临界终点附近热力学可观测量的奇异行为，我们提取了相应的有效临界指数，这些指数表征了比热密度、旋转极化不连续性、旋转 susceptibility 以及旋转极化临界等温线行为的标度特性。所得指数趋近于预期的平均场值且满足对应标度关系，表明在当前框架内，旋转自由度并未改变 underlying 平均场临界标度行为。这些结果为旋转诱导的临界现象提供了系统表征，并为超越平均场近似的旋转QCD物质进一步研究奠定了基础。
英文摘要
We investigate the thermodynamic properties and critical behavior of rotating strongly interacting matter within the two-flavor Nambu--Jona-Lasinio model. The phase structure and critical endpoint (CEP) are determined in the temperature-angular-velocity \((T,ω)\) plane. Exploiting the thermodynamic conjugacy between the angular velocity \(ω\) and rotational polarization \(J\), we characterize the CEP through complementary thermal, coexistence, susceptibility, and critical-isotherm responses. The corresponding effective critical exponents are extracted along distinct thermodynamic trajectories and are found to be consistent with \(α_ω\simeq0\), \(β_ω\simeq1/2\), \(γ_ω\simeq1\), and \(δ_ω\simeq3\). These exponents are numerically compatible with the standard scaling relations and form a mutually consistent Landau mean-field scaling pattern. Our results establish a coherent thermodynamic characterization of the rotation-induced CEP and demonstrate how its singular behavior is encoded in rotational response observables associated with the conjugate pair \((ω,J)\).
发表机构
- China Three Gorges University（三峡大学）
- University of South China（南华大学）
- INFN–Istituto Nazionale di Fisica Nucleare–Sezione di Bari（意大利国家核物理研究所巴里分部）
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