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arXiv 2307.08620hep-latnucl-th
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基于格点QCD四点函数的带电π介子磁极化率

Magnetic polarizability of a charged pion from four-point functions in lattice QCD

Frank X. Lee, Walter Wilcox, Andrei Alexandru, Chris Culver

AI总结:

提出基于格点QCD四点函数的方法计算带电π介子磁极化率,发现弹性与非弹性贡献大幅抵消,得到较小且为负的β_M,与手征微扰论一致。

摘要:

电磁偶极极化率是强子的基本属性,表征其在外场下抵抗形变的能力。对于带电强子,加速度和朗道能级的存在使传统背景场方法中分离其形变能量变得复杂。本工作探索一种基于格点QCD四点函数的通用方法,该方法考虑所有光子、夸克和胶子相互作用。电极化率(α_E)已在此前的原理验证模拟中通过该方法确定。这里我们聚焦于磁极化率(β_M),在24³×48格点上、β=6.0条件下采用相同的淬火Wilson作用量,π介子质量范围为1100至370 MeV。连通图结果显示弹性与非弹性贡献之间存在大幅抵消,使β_M成为一个较小的负值,与手征微扰论一致。我们还结合两项研究讨论了α_E+β_M的机制。

英文摘要:

Electromagnetic dipole polarizabilities are fundamental properties of a hadron that represent its resistance to deformation under external fields. For a charged hadron, the presence of acceleration and Landau levels complicates the isolation of its deformation energy in the conventional background field method. In this work, we explore a general method based on four-point functions in lattice QCD that takes into account all photon, quark and gluon interactions. The electric polarizability ($α_E$) has been determined from the method in a previous proof-of-principle simulation. Here we focus on the magnetic polarizability ($β_M$) using the same quenched Wilson action on a $24^3\times 48$ lattice at $β=6.0$ with pion mass from 1100 to 370 MeV. The results from the connected diagrams show a large cancellation between the elastic and inelastic contributions, leading to a relatively small and negative value for $β_M$ consistent with chiral perturbation theory. We also discuss the mechanism for $α_E+β_M$ from combining the two studies.

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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