关于一个精确可解的禁闭夸克模型及其热力学
On an exactly solvable confining quark model and its thermodynamics
摘要：
我们精确计算了任意温度和任意夸克化学势条件下禁闭夸克模型的巨配分函数。该模型的灵感来自于QCD的一个版本，其中微扰BRST对称性在红外线中被打破，而微扰QCD在紫外线中被恢复。该理论导致，即使在树的水平，夸克质量函数兼容的非微扰分析的晶格模拟和戴森-施温格方程。尽管被定义在树的水平，该模型产生一个非平凡的和稳定的热力学行为在任意值的温度或化学势。作为温度函数的压力和迹线异常的结果定性地类似于晶格模拟中观察到的非微扰相互作用的结果。冷而稠密的热力学也包含了非平凡的特征，不像自由的大质量粒子的气体。
英文摘要：
We perform an exact computation of the grand partition function of a model of confined quarks at arbitrary temperatures and quark chemical potentials. The model is inspired by a version of QCD where the perturbative BRST symmetry is broken in the infrared, while perturbative QCD is recovered in the ultraviolet. The theory leads, even at tree level, to a quark mass function compatible with nonperturbative analyses of lattice simulations and Dyson-Schwinger equations. In spite of being defined at tree level, the model produces a non-trivial and stable thermodynamic behaviour at arbitrary values of temperature or chemical potential. Results for the pressure and the trace anomaly as a function of temperature qualitatively resemble those of non-perturbative interactions as observed in lattice simulations. The cold and dense thermodynamics is also contains non-trivial features, being unlike a gas of free massive particles.
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