标题： 有限温度下宇宙弦时空中的费米子凝聚和能量-动量张量 显示英文标题

标题： Finite temperature fermionic condensate and energy-momentum tensor in cosmic string spacetime

摘要： 在这里，我们分析了在有限温度热平衡下，携带磁通量的宇宙弦中传播的具有非零化学势的带电费米量子场的费米子凝聚和能量-动量张量的期望值$T$。 费米子凝聚和能量-动量张量的期望值表示为真空期望值和来自粒子和反粒子激发的有限温度贡献之和。 费米子凝聚和能量-动量张量的热期望值是磁通量的偶周期函数，周期为量子通量，同时也是化学势的偶函数。 由于费米子凝聚和能量-动量张量的真空期望值分析已经在文献中得到发展，因此我们主要关注热修正的研究。 通过这种方式，我们明确研究了这些可观测量在低温和高温极限以及靠近弦的点上的行为。 除了分析讨论外，我们还包含了一些图表，展示了这些可观测量在模型不同物理参数下的行为。 显示英文摘要

摘要： Here we analyze the expectation value of the fermionic condensate and the energy-momentum tensor associated with a massive charged fermionic quantum field with a nonzero chemical potential propagating in a magnetic-flux-carrying cosmic string in thermal equilibrium at finite temperature $T$. The expectation values of the fermionic condensate and the energy-momentum tensor are expressed as the sum of vacuum expectation values and the finite temperature contributions coming from the particles and antiparticles excitation. The thermal expectations values of the fermionic condensate and the energy-momentum tensor are even periodic functions of the magnetic flux with period being the quantum flux, and also even functions of the chemical potential. Because the analyses of vacuum expectation of the fermionic condensate and energy-momentum tensor have been developed in literature, here we are mainly interested in the investigation of the thermal corrections. In this way we explicitly study how these observable behaves in the limits of low and high temperatures, and also for points near the string. Besides the analytical discussions, we included some graphs that exhibit the behavior of these observable for different values of the physical parameters of the model.