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arXiv 0911.4455hep-ph
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电子磁矩的非微扰计算

A nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons

S. S. Chabysheva, J. R. Hiller

摘要:

应用Pauli-Villars(PV)正则化方案计算费曼规范下光锋量子化量子电动力学(QED)中的缀饰电子态及其反常磁矩。正则化由添加到拉格朗日量的重负度量场提供。光前QED哈密顿量,然后导致一个定义良好的本征值问题表示为福克状态展开的缀饰电子状态。Fock态波函数满足由本征值问题导出的耦合积分方程。通过截断不超过两个光子和没有正电子,得到了一个有限的方程组;这扩展了早期的工作,仅限于由单个光子修整。应用数值技术来解决耦合系统和计算的异常时刻,我们得到的协议与实验,数值误差内,但观察到一个小的系统的差异,应该是由于没有电子-正电子环和三光子自能效应。我们还讨论了该方法在量子色动力学中的应用前景。

英文摘要:

The Pauli--Villars (PV) regularization scheme is applied to a calculation of the dressed-electron state and its anomalous magnetic moment in light-front-quantized quantum electrodynamics (QED) in Feynman gauge. The regularization is provided by heavy, negative-metric fields added to the Lagrangian. The light-front QED Hamiltonian then leads to a well-defined eigenvalue problem for the dressed-electron state expressed as a Fock-state expansion. The Fock-state wave functions satisfy coupled integral equations that come from this eigenproblem. A finite system of equations is obtained by truncation to no more than two photons and no positrons; this extends earlier work that was limited to dressing by a single photon. Numerical techniques are applied to solve the coupled system and compute the anomalous moment, for which we obtain agreement with experiment, within numerical errors, but observe a small systematic discrepancy that should be due to the absence of electron-positron loops and of three-photon self-energy effects. We also discuss the prospects for application of the method to quantum chromodynamics.

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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