非微扰光阵面哈密顿理论的质量重整化：用截断的Pauli-Villars调节的Yukawa相互作用的说明
The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions
摘要：
我们获得了分析，非微扰，汤川理论的近似解在一个费米子部门使用光前量子化。该理论在紫外线中通过引入重的Pauli-Villars标量场和费米子场来调节，每个场都具有负范数。为了得到一个直接可解的问题，费米子对的产生和湮灭被忽略了，玻色子组元的数量被限制在两种类型中的一种。我们讨论了本征解的波函数的一些特征，包括它的端点行为以及自旋和轨道角动量含量。无限大的保利-维拉尔质量的极限受到特别的研究。
英文摘要：
We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.
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