分类： 物理学 >> 核物理学 提交时间： 2016-09-14
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/Nc expansion. The charged ρ meson mass decreases with the magnetic field and drops to zero at a critical magnetic field eBc, 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 ρcondensation 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 GeV, the critical magnetic field for charged ρcondensation is in the range of 0.2−0.6 GeV2, which indicates that the high temperature electromagnetic superconductor could be created at LHC.
分类： 物理学 >> 核物理学 提交时间： 2016-09-02
摘要： We investigate the effect of the inverse magnetic catalysis (IMC) on the charged ρ meson condensation at finite temperature in the framework of the Nambu--Jona-Lasinio model, where mesons are calculated to the leading order of 1/Nc expansion by summing up infinity quark-loops. IMC for chiral condensate has been considered in three different ways, i.e. fitting Lattice data, using the running coupling constant and introducing the chiral chemical potential, respectively. It is observed that, with no IMC effect included, the critical magnetic field eBc for charged ρ condensation increases monotonically with the temperature. However, including IMC substantially affects the polarized charged ρ condensation around the critical temperature Tc of chiral phase transition, the critical magnetic field eBc for charged ρ condensation decreases with the temperature firstly, reaches to a minimum value around Tc, then increases with the temperature. Our calculation indicates that the charged ρ condensation can exist in the temperature region of 1−1.5Tc with critical magnetic field eBc∼0.15−0.3GeV2, which suggests that high temperature superconductor might be created through non-central heavy ion collisions at LHC energies. We also show that a growing electric conductivity in early stage of non-central heavy-ion collisions substantially delays the decay of strong magnetic field, which is helpful for the formation of the high temperature superconductor.
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