有限温度下SU(3)胶子物质的格点数据驱动的比热与等熵体模量
Lattice-data-driven specific heat and isentropic bulk modulus of SU(3) gluon matter at finite temperature
- Hunan University of Science and Technology（湖南科技大学）
- Hubei University of Automotive Technology（湖北汽车工业学院）
- 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）
- University of Chinese Academy of Sciences（中国科学院大学）
- Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究人员基于格点数据驱动的唯象框架，计算有限温度纯SU(3)胶子物质的比热与等熵体模量，发现二者可互补约束其非共形动力学的温度演化。
AI中文摘要：
我们在格点数据驱动的唯象框架内研究有限温度纯SU(3)规范物质的比热与等熵体模量。物态方程以温度依赖的有效胶子质量形式构建，该质量受格点QCD压强数据作为输入约束，可热力学自洽地推导压强、迹反常、胶子数密度、每个热活跃胶子模式的能量以及对导数敏感的响应函数。所得压强与迹反常重现了退禁闭区域的特征格点行为，而有效胶子自由度在$T_c$以上迅速增加。归一化比热$C_V/T^3$在$T_c$附近出现显著增强，反映了退禁闭区域能量密度随温度的快速变化；等熵体模量$K_S/T^4$也在过渡区域急剧上升，表明物态方程显著硬化。在高温下，两种响应函数逐渐趋近于无质量共形斯特藩-玻尔兹曼参考值，其中$(C_V/T^3)_{\rm SB}=32\pi^2/15\simeq 21.06$，$(K_S/T^4)_{\rm SB}=32\pi^2/135\simeq 2.34$。这些发现表明，比热与等熵体模量为纯SU(3)规范物质中非共形动力学的温度演化提供了互补约束。
英文摘要：
We investigate the specific heat and isentropic bulk modulus of finite-temperature pure SU(3) gauge matter within a lattice-data-driven phenomenological framework. The equation of state is formulated in terms of a temperature-dependent effective gluon mass constrained { by lattice QCD pressure data as input, allowing the pressure}, trace anomaly, gluon number density, energy per thermally active gluonic mode, and derivative-sensitive response functions to be derived in a thermodynamically consistent manner. The resulting pressure and trace anomaly reproduce the characteristic lattice behavior across the deconfinement region, while the effective gluonic degrees of freedom increase rapidly above $T_c$. The normalized specific heat $C_V/T^3$ develops a pronounced enhancement in the vicinity of $T_c$, reflecting the rapid temperature variation of the energy density across the deconfinement region. The isentropic bulk modulus $K_S/T^4$ also rises sharply across the transition region, indicating a substantial stiffening of the equation of state. At high temperatures, both response functions gradually approach values close to their massless conformal Stefan--Boltzmann reference values, with $\left(C_V/T^3\right)_{\rm SB}=32π^2/15\simeq 21.06$ and $\left(K_S/T^4\right)_{\rm SB}=32π^2/135\simeq 2.34$. These findings indicate that the specific heat and isentropic bulk modulus provide complementary constraints on the temperature evolution of nonconformal dynamics in pure SU(3) gauge matter.
