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arXiv 2605.06271hep-phnucl-th
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介子质量提取方案与π±-ρ±混合的比较研究

A Comparative Study of Mass Extraction Schemes and $π^\pm-ρ^\pm$ Mixing

School of Physics and Optoelectronic Engineering, Beijing University of Technology(北京工业大学物理与光电工程学院)

Ziyue Wang

AI总结:

本文通过比较四种质量提取方案,探讨了磁场下最低电荷介子激发的非单调性起源,发现直接行列式求解和近极展开方案能保持稳健的非单调性。

摘要:

我们研究了在格点QCD中观测到的最低电荷介子激发的非单调磁场依赖性的起源。在磁场中,电荷介子与纵向极化的电荷rho介子混合,二者具有相同的量子数。在SU(2)_f Nambu--Jona-Lasinio模型中补充了一个规范不变的π-ρ混合算符,该算符受实验ρ±→π±γ衰变宽度约束,我们比较了四种质量提取方案:静止质量重建、局部bosonization、直接行列式求解与Landau投影以及近极展开。静止质量方案无法再现格点类型的转折,而局部导数展开方案中转折存在但较弱,发生在大磁场下。相比之下,直接行列式和近极展开方案均保持稳健的非单调最低模式。前者最忠实于电荷激发的Landau级动能学,后者最清楚地显示残差抑制增强了规范归一化后的有效混合。我们的结果表明,格点行为是一种真正的准粒子混合效应,但其稳健性依赖于如何在磁场中提取电荷介子极结构。

英文摘要:

We study the origin of the non-monotonic magnetic-field dependence of the lowest charged pion excitation observed in lattice QCD. In a magnetic field, the charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers. Within the SU(2)$_f$ Nambu--Jona-Lasinio model supplemented by a gauge invariant tree-level $π-ρ$ mixing operator constrained by the experimental $ρ^\pm\rightarrowπ^\pmγ$ decay width, we compare four mass-extraction schemes: rest-mass reconstruction, local bosonization, direct determinant solving with Landau projection, and near-pole expansion. The rest-mass scheme cannot reproduce the lattice-type turnover, while in the local derivative-expansion scheme the turnover presence but is weak which occurs at large magnetic field. By contrast, the direct determinant and near-pole schemes both retain a robust non-monotonic lowest mode. The former is most faithful to the Landau-level kinematics of the charged excitation, while the latter most clearly shows that residue suppression enhances the effective mixing after canonical normalization. Our results indicate that the lattice behavior is a genuine quasiparticle mixing effect, but one whose robustness depends crucially on how the charged-meson pole structure is extracted in a magnetic field.

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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