arXiv 2106.063532021-06-11hep-phhep-th

磁场对热QCD物质热力学的影响

The Magnetic Field Effect on Thermodynamics of Hot QCD Matter using Extensive and non-Extensive Statistics

Essam Tarek, M. M. Ahmed, Asmaa G. Shalaby

备注：: 22 pages,7 figures

摘要：

本文利用广延和非广延两种不同的统计量详细研究了量子色动力学（QCD）物质的热力学。热力学性质如压强、数密度、能量密度、熵和磁化强度等由零和非零磁场下的统计数据确定，eB = 0; 0：2; 0：3GeV^2。磁场效应是通过在热贡献的同时增加真空对自由能的贡献而出现的。广义热力学可以从本文所采用的共振强子气体模型中得到。因此，我们重复我们的计算在零和非零磁场的非广泛的统计。由这两种统计方法计算的热力学量的理论结果与格点结果相比较，表明格点结果与广义热力学理论的结果基本一致，但在非广义热力学理论中，格点结果在高温和高熵指数下被高估了。另外还考察了QCD物质对磁场的响应，得出了QCD物质是顺磁物质的结论。

英文摘要：

We study in detail the thermodynamics of the quantum chromodynamics (QCD) matter utilizing two different statistics, extensive and non-extensive. The thermodynamics such as (pressure, number density, energy density , entropy and magnetization) are determined from both statistics at zero and non-zero magnetic field, eB = 0; 0:2; 0:3GeV^2. The magnetic field effect appears by adding a vacuum contribution to the free energy along side the thermal contribution. The extensive thermodynamics can be emerged from the resonance hadron gas model which is incorporated in the present work. Accordingly, we repeat our calculations at zero and non-zero magnetic field for the non-extensive statistics. The theoretical results of thermodynamical quantities calculated from both statistics are confronted to the lattice results which show a reasonable agreement with the extensive thermodynamics, but overrated in non-extensive thermodynamics at high temperature only and higher entropic index. The response of the QCD matter due to the magnetic field is additionally examined, and it is concluded that QCD matter is considered as a paramagnetic matter.

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