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arXiv 1606.05754hep-phhep-latnucl-th
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强磁场中$π_0$磁极质量的计算及晶格约束

$π_0$ pole mass calculation in a strong magnetic field and lattice constraints

Sidney S. Avancini, Ricardo L. S. Farias, Marcus Benghi Pinto, William R. Tavares, Varese S. Timóteo

摘要:

采用SU(2)Nambu-Jona-Lasinio模型,在无规相位近似(RPA)下,计算了零温度零重子密度下强磁化介质中的$π_0$中性介子极质量.我们采用了一个依赖于磁场的耦合,$G(eB)$,拟合再现了夸克凝聚的格点量子色动力学结果。发散量的处理与磁场独立的正则化方案,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,我们发现当磁场增加时,$π_0$介子质量系统地减小,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他介子性质,如$f_{π_0}$和$g_{π_0 q q}$。

英文摘要:

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, $G(eB)$, 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 $g_{π_0 q q}$.

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。

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