高温恒定均匀磁场中带电大质量粒子的单圈Ω势
One-loop omega-potential of charged massive particles in a constant homogeneous magnetic field at high temperatures
摘要：
导出了在均匀恒定磁场中，由带电标量粒子、Dirac粒子和反粒子对Ω势的单圈修正的高温展开式.得到了有限温度和密度下有效作用量的非微扰修正的显式表达式。在单圈近似下，分析了均匀恒定磁场中带电标量气体的热力学性质。事实证明，在这种近似下，系统在足够高的密度下经历了从抗磁到超导的一阶相变。研究了通过对环形图求和来改善单回路结果的方法。这种改进导致系统的热力学性质发生急剧变化。带电标量气体在高密度和足够低的温度下，在高温状态下会进入铁磁状态，而不是超导状态。
英文摘要：
The explicit expressions for the high-temperature expansions of the one-loop corrections to the omega-potential coming from charged scalar and Dirac particles and, separately, from antiparticles in a constant homogeneous magnetic field are derived. The explicit expressions for the non-perturbative corrections to the effective action at finite temperature and density are obtained. Thermodynamic properties of a gas of charged scalars in a constant homogeneous magnetic field are analyzed in the one-loop approximation. It turns out that, in this approximation, the system suffers a first-order phase transition from the diamagnetic to the superconducting state at sufficiently high densities. The improvement of the one-loop result by summing the ring diagrams is investigated. This improvement leads to a drastic change in thermodynamic properties of the system. The gas of charged scalars passes to the ferromagnetic state in place of the superconducting one at high densities and sufficiently low temperatures, in the high temperature regime.
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