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arXiv 2306.04045hep-ph
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夸克–介子模型中磁场下中性与带电π介子的泛函重整化群研究

Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model

Rui Wen, Shi Yin, Wei-jie Fu, Mei Huang

AI总结:

本研究利用泛函重整化群并结合 Landau 能级与弱场展开,计算零温磁场下中性及带电π介子的质量和衰变常数,验证了磁催化及与 lattice QCD 的一致性。

摘要:

我们在零温条件下计算了外磁场中的中性与带电π介子质量以及π介子衰变常数。量子涨落通过泛函重整化群被积分掉。我们分别在 Landau 能级表示和弱场展开中考虑夸克传播子与介子传播子。中性π介子质量随磁场单调减小,而带电π介子质量随磁场单调增加。π介子衰变常数和夸克质量在零温下表现出磁催化行为。在 $eB<1.2{\ m GeV}^2$ 区域内,中性π介子质量和π介子衰变常数在定量上与 lattice QCD 结果一致,并且在该框架中未观察到带电π介子的非单调质量行为。

英文摘要:

We calculated the masses of neutral and charged pion and pion decay constants under an extra magnetic field at zero temperature. The quantum fluctuations are integrated through the functional renormalization group. We consider the quark and meson propagators in the Landau level representation and weak-field expansion, respectively. The neutral pion mass monotonically decreases with the magnetic field, while the charged pion mass monotonically increases with the magnetic field. The pion decay constant and the quark mass show the magnetic catalysis behavior at vanishing temperature. The neutral pion mass and pion decay constant are quantitatively in agreement with the lattice QCD results in the region of $eB < 1.2 {\rm GeV}^2$, and no non-monotonic mass behavior for charged pion has been observed in this framework.

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