论文标题
全RPA评估中的中性$ρ$ MESON的磁化杆质量
Magnetized pole-mass of neutral $ρ$ meson within full RPA evaluation
论文作者
论文摘要
在这项工作中，我们计算出具有不同自旋投影的$ρ^0 $ MESON的杆质量，$ s_z = 0，\ pm 1 $在磁化的两种味nambu-jona-jona-lasinio模型的上下文中。利用平均场近似来获得有效的夸克质量作为磁场的函数，我们将随机相位近似（RPA）应用于矢量通道，以计算每个自旋分量的极化函数。我们在评估中采用磁场独立的正则化（MFIR）作为分离差异的一种方法和对真空贡献的Pauli-Villars正则化。带有自旋投影的$ρ^0 $ MESON质量$ s_z = \ pm 1 $总是用磁场的幅度催化，与晶状体QCD结果显示出良好的一致性。质量投影$ s_z = 0 $具有非单调的行为，直到最低为$ eb \ lyssim 0.15 $ gev $^2 $，这与可用的LQCD数据相反。
In this work we calculate the pole-mass of the $ρ^0$ meson with different spin projections $s_z=0,\pm 1$ in the context of the magnetized two-flavor Nambu--Jona--Lasinio model. Making use of the mean field approximation to obtain the effective quark mass as a function of the magnetic field, we apply the random phase approximation (RPA) to the vector channel in order to calculate the polarization function for each spin component. We adopt the magnetic field independent regularization (MFIR) in our evaluations as a method of separating divergences and the Pauli-Villars regularization for the vacuum contributions. The $ρ^0$ meson mass with spin projection $s_z=\pm 1$ is always catalysed with the magnitude of the magnetic field, showing good agreement with Lattice QCD results. The mass projection $s_z=0$ has a non-monotonic behavior, decreasing until the minimum at $eB\lesssim 0.15$ GeV$^2$, which is in contrast with available LQCD data.
