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arXiv 2401.00514hep-lat
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使用交错费米子的双π介子与矢量介子态的混合

The mixing of two-pion and vector-meson states using staggered fermions

Fabian J. Frech, Finn M. Stokes, Kalman K. Szabo, Balint C. Toth

AI总结:

本研究使用交错费米子计算静止双π味单态,利用Clebsch-Gordan系数和广义特征值问题求解,分析ππ态对ρ介子关联函数的贡献,以探究其对μ子反常磁矩的作用。

摘要:

在本研究中,我们采用交错费米子来计算静止的双π味单态。利用与交错费米子相关的对称群的Clebsch-Gordan系数,我们有效地计算了静止ρ介子关联函数中的ππ贡献。为了辨别所涉及的不同能量态,我们采用广义特征值问题求解方法。这项工作将为了解双π贡献在μ子反常磁矩中所起的重要作用提供见解。本文我们介绍了我们的群论考虑以及双π态对ρ介子关联函数贡献的初步结果。

英文摘要:

In this study we employ staggered fermions to calculate the two-pion taste singlet states at rest. Leveraging the Clebsch-Gordan coefficients of the symmetry group associated with staggered fermions, we effectively compute the $ππ$ contributions to the resting $ρ$-meson correlator. To discern the distinct energy states involved, we adopt a generalized eigenvalue problem-solving approach. This work will provide insight into the important role played by the two-pion contribution to the anomalous magnetic moment of the muon. In this paper we present our group theoretic considerations and preliminary results on the contribution of two-pion states to the rho meson correlation function.

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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