We consider thermodynamic properties of a quark–gluon plasma related to quasiparticles having the internal structure. For this purpose, we employ a possible analogy between quantum chromodynamics and non-Abelian Proca-Dirac-Higgs theory. The influence of characteristic sizes of the quasiparticles on such thermodynamic properties of the quark–gluon plasma like the internal energy and pressure is studied. Sizes of the quasiparticles are taken into account in the spirit of the van der Waals equation but we take into consideration that the quasiparticles have different sizes, and the average value of these sizes depends on temperature. It is shown that this results in a change in the internal energy and pressure of the quark–gluon plasma. Also, we show that, when the temperature increases, the average value of characteristic sizes of the quasiparticles increases as well. This leads to the occurrence of a phase transition at the temperature at which the volume occupied by the quasiparticles is compared with the volume occupied by the plasma.

中文翻译：

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夸克-胶子等离子体模型中准粒子的热力学和统计物理学

我们考虑与具有内部结构的准粒子相关的夸克-胶子等离子体的热力学性质。为此，我们在量子色动力学和非阿贝尔普罗卡-狄拉克-希格斯理论之间进行了可能的类比。研究了准粒子的特征尺寸对夸克-胶子等离子体的内能和压力等热力学性质的影响。根据范德华方程的精神考虑准粒子的大小，但我们考虑到准粒子具有不同的大小，并且这些大小的平均值取决于温度。结果表明，这会导致夸克-胶子等离子体的内部能量和压力发生变化。此外，我们表明，当温度升高时，准粒子特征尺寸的平均值也增加。这导致在准粒子占据的体积与等离子体占据的体积进行比较的温度下发生相变。