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arXiv 0812.1100hep-ph
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Yukawa模型反常磁矩的非微扰计算

Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model

J. -F. Mathiot, V. A. Karmanov, A. V. Smirnov

摘要:

在光阵面动力学的协变公式中,我们计算了费米子与相同标量玻色子耦合的状态矢量(汤川模型)。状态矢量分解在Fock部门,我们考虑前三个:一个费米子,一个费米子耦合到一个玻色子,和一个费米子耦合到两个玻色子。这最后一个三体扇区对状态矢量产生非平凡和非微扰的贡献,并且这些贡献是用非近似计算的。用Pauli-Villars费米子场和玻色子场正则化了振幅的发散。物理观测量可以明确地推导出使用系统的重整化方案,我们开发的。这个重整化方案是一个必要条件,以避免未取消的发散时,Fock空间被截断。作为一个例子,我们给出了Yukawa模型中费米子反常磁矩的初步数值结果。

英文摘要:

Within the covariant formulation of light-front dynamics, we calculate the state vector of a fermion coupled to identical scalar bosons (the Yukawa model). The state vector is decomposed in Fock sectors and we consider the first three ones: a single fermion, a fermion coupled to one boson, and a fermion coupled to two bosons. This last three-body sector generates nontrivial and nonperturbative contributions to the state vector, and these contributions are calculated with no approximations. The divergences of the amplitudes are regularized using Pauli-Villars fermion and boson fields. Physical observables can be unambiguously deduced using a systematic renormalization scheme we developed. This renormalization scheme is a necessary condition in order to avoid uncancelled divergences when Fock space is truncated. As an example, we present preliminary numerical results for the anomalous magnetic moment of a fermion in the Yukawa model.

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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