研究了强子共振气体和无质量夸克物质电导率的经典和量子表达式及其在磁场存在下的数值估计。Dash等人[Phys. Rev. D 102，016016（2020）]先前使用玻尔兹曼方程中的标准弛豫时间近似研究了存在磁场时HRG物质输运系数的经典结果。在同一参考文献中，还估计了无质量和HRG物质在磁场存在下从各向同性输运系数到各向异性系数的转变。这导致了上限或Stefan-Boltzmann（SB）型限制的非微扰域过渡的传输系数。在类似的背景下，目前的工作集中在从高温和低磁场的域到低温和高磁场的HRG输运的经典到量子的转变。我们还比较了HRG结果的量子修正与无质量夸克物质的结果，我们观察到相反的趋势。由于介子和重子的粒子分布函数不同，它们之间也存在类似的量子效应。尽管事实上，HRG包含介子和重子，其净磁热力学相空间的朗道量子化揭示了介子或玻色子为主的量子修改。这就是为什么HRG结果的量子修正揭示了与无质量夸克物质相反的趋势，它面临着费米量子修正。
英文摘要：
We have studied the classical and quantum expressions of electrical conductivity and their numerical estimation in the presence of a magnetic field for hadron resonance gas (HRG) and massless quark matter. Classical results of transport coefficients of HRG matter in the presence of a magnetic field were studied previously by Dash et al. [Phys. Rev. D 102, 016016 (2020)] using the standard relaxation time approximation in the Boltzmann equation. In the same reference, the transition from isotropic transport coefficients to anisotropic coefficients in the presence of a magnetic field was also estimated for massless and HRG matter. This led to an upper limit or Stefan-Boltzmann (SB) type limit to the nonperturbative domain transition of transport coefficients. In a similar context, the present work has concentrated on the classical to quantum transition of HRG transport from the domain of high temperature and low magnetic field to that of low temperature and high magnetic field. We have also compared the quantum modification of HRG results with that of massless quark matter, where we observed an opposite trend. A similar kind of quantum effect is also noticed between mesons and baryons due to their different particle distribution functions. Despite the fact that HRG contains both mesons and baryons, Landau quantization of its net magnetothermodynamic phase space reveals meson- or boson-dominated quantum modification. That is why the quantum modification of HRG results reveals the opposite trend from that of massless quark matter, which faces fermionic quantum modification.
