荷电ρ凝聚在高温高密度下的存活
Survival of charged rho condensation at high temperature and density
摘要：
在Nambu-Jona-Lasinio模型的框架下，在有限温度$T$和有限化学势$μ$下，研究了外磁场存在下带电矢量$ρ$介子.我们计算了不同温度和化学势下带电$ρ$介子的质量随磁场的变化。$ρ$介子的自能包含了夸克圈贡献，即$1/N_c$展开中的首阶贡献。带电的$ρ$介子质量随磁场的增加而减小，在临界磁场$eB_c$处降为零，这意味着在临界磁场以上可以诱导出带电矢量介子凝聚，即电磁超导体.令人惊讶的是，发现带电的$ρ$缩合物甚至可以在高温和高密度下存活。在零温时，临界磁场随化学势的增加而略有增加，这表明致密恒星内部可能存在带电的$ρ$凝聚。在零密度下，在$0.2-0.5~ {\rm GeV}$温度范围内，带电$ρ$凝聚的临界磁场在$0.2-0.6~ {\rm GeV}^2$范围内，这表明在LHC上可以产生高温电磁超导体。
英文摘要：
The charged vector $ρ$ mesons in the presence of external magnetic fields at finite temperature $T$ and chemical potential $μ$ have been investigated in the framework of the Nambu--Jona-Lasinio model. We compute the masses of charged $ρ$ mesons numerically as a function of the magnetic field for different values of temperature and chemical potential. The self-energy of the $ρ$ meson contains the quark-loop contribution, i.e. the leading order contribution in $1/N_c$ expansion. The charged $ρ$ meson mass decreases with the magnetic field and drops to zero at a critical magnetic field $eB_c$, which means that the charged vector meson condensation, i.e. the electromagnetic superconductor can be induced above the critical magnetic field. Surprisingly, it is found that the charged $ρ$ condensation can even survive at high temperature and density. At zero temperature, the critical magnetic field just increases slightly with the chemical potential, which indicates that the charged $ρ$ condensation might occur inside compact stars. At zero density, in the temperature range $0.2-0.5~ {\rm GeV}$, the critical magnetic field for charged $ρ$ condensation is in the range of $0.2-0.6~ {\rm GeV}^2$, which indicates that the high temperature electromagnetic superconductor could be created at LHC.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
