Properties of magnetized neutral mesons within a full RPA evaluation
Properties of magnetized neutral mesons within a full RPA evaluation
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DOI：
10.1103/physrevd.93.014010
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发表时间：
2015-11
影响因子：
5
通讯作者：
S. Avancini;W. R. Tavares;M. B. Pinto
中科院分区：
文献类型：
--
作者：
S. Avancini;W. R. Tavares;M. B. Pinto
我们在RPA框架下考虑了双味Nambu-Jona-Lasinio模型，计算了在磁场存在的情况下，在消失温度和重子密度下介子的质量和衰变常数。本工作通过充分考虑外部动量来扩展RPA的其他应用，该外部动量进入代表磁化极化张量的积分，从而可以在包含粒子贡献的物理量的评估中获得更准确的结果。如我们所示，这一技术改进产生的结果与晶格模拟和手征微扰理论的结果很好地吻合。我们的方法也可能被证明是有用的，在未来的量的评估，如剪切粘度和状态方程的磁化夸克物质的介子贡献。
We consider the two flavor Nambu--Jona-Lasinio model within the RPA framework to evaluate the masses of the $\sigma$ and $\pi^0$ mesons and the $\pi^0$ decay constant in the presence of a magnetic field at vanishing temperatures and baryonic densities. The present work extends other RPA applications by fully considering the external momenta, which enter the integrals representing the magnetized polarization tensor, so that more accurate results can be obtained in the evaluation of physical quantities containing pionic contributions. As we show, this technical improvement generates results which agree well with those produced by lattice simulations and chiral perturbation theory. Our method may also prove to be useful in future evaluations of quantities such as the shear viscosity and the equation of state of magnetized quark matter with mesonic contributions.