π 0 pole mass calculation in a strong magnetic field and lattice constraints
π 0 pole mass calculation in a strong magnetic field and lattice constraints
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DOI：
10.1016/j.physletb.2017.02.002
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发表时间：
2016-06
影响因子：
4.4
通讯作者：
S. Avancini;R. Farias;M. B. Pinto;W. R. Tavares;V. S. Tim'oteo
中科院分区：
文献类型：
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作者：
S. Avancini;R. Farias;M. B. Pinto;W. R. Tavares;V. S. Tim'oteo
本文采用SU（2）Nambu-Jona-Lasinio模型，在无规相近似（RPA）下，计算了零温度零重子密度下强磁化介质中π 0中性介子的极质量.我们采用了一个依赖于磁场的耦合G（e B），拟合来再现夸克凝聚的格点QCD结果。发散量的处理与磁场无关的正则化方案，以避免非物理振荡。运行和固定耦合之间的比较表明，前者产生的结果更接近最近的晶格计算的预测。特别地，我们发现π 0介子的质量随着磁场的增加而系统地减小，而标量质量几乎保持不变.我们还研究了磁场背景如何影响其它介子性质，如f π 0和g π 0 qq。
The π 0 neutral meson pole mass is calculated in a strongly magnetized medium using the SU (2) Nambu–Jona–Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field dependent coupling, G (e B), fitted to reproduce lattice QCD results for the quark condensates. Divergent quantities are handled with a magnetic field independent regularization scheme in order to avoid unphysical oscillations. A comparison between the running and the fixed couplings reveals that the former produces results much closer to the predictions from recent lattice calculations. In particular, we find that the π 0 meson mass systematically decreases when the magnetic field increases while the scalar mass remains almost constant. We also investigate how the magnetic background influences other mesonic properties such as f π 0 and g π 0 q q.