论文标题

在扩展的NJL模型中,在强磁场下,带电的伪库和媒介膜质量

Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model

论文作者

Carlomagno, J. P., Dumm, D. Gomez, Villafañe, M. F. Izzo, Noguera, S., Scoccola, N. N.

论文摘要

在静态统一磁场$ \ vec b $存在下,$π^+$和$ρ^+$梅森的质谱在两种味的NJL样模型中进行了研究。我们考虑了夸克传播器携带的schwinger阶段的效果,并根据非零$ b $的相应运动方程式的解决方案来提高了以前的计算。结果表明,在此基础上,介子极化函数是对角线的。我们发现$ρ^+$梅森光谱的数值结果不利于磁场诱导的介子冷凝物的存在。在$π^+$梅森的情况下,分析了梅森最低能量状态的$π$ - $ρ$混合效果。将模型的预测与可用的晶格QCD结果进行了比较。

The mass spectrum of $π^+$ and $ρ^+$ mesons in the presence of a static uniform magnetic field $\vec B$ is studied within a two-flavor NJL-like model. We improve previous calculations taking into account the effect of Schwinger phases carried by quark propagators, and using an expansion of meson fields in terms of the solutions of the corresponding equations of motion for nonzero $B$. It is shown that the meson polarization functions are diagonal in this basis. Our numerical results for the $ρ^+$ meson spectrum are found to disfavor the existence of a meson condensate induced by the magnetic field. In the case of the $π^+$ meson, $π$ - $ρ$ mixing effects are analyzed for the meson lowest energy state. The predictions of the model are compared with available lattice QCD results.

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