Nonperturbative Calculation of the Electron's Magnetic Moment.

Brodsky, S. J. ; Franke, V. A. ; Hiller, J. R. ; McCartor, G. ; Paston, S. A.

Technical Information Center Oak Ridge Tennessee

关键词: Electrons;    Magnetic moments;    Gauge invariance;    Hamiltonians;    Lagrangian function;   

RP-ID  :  DE2004827007

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

In principle, the complete spectrum and bound-state wave functions of a quantum field theory can be determined by finding the eigenvalues and eigensolutions of its light-cone Hamiltonian. One of the challenges in obtaining nonperturbative solutions for gauge theories such as QCD using light-cone Hamiltonian methods is to renormalize the theory while preserving Lorentz symmetries and gauge invariance. For example, the truncation of the light-cone Fock space leads to uncompensated ultraviolet divergences. We present two methods for consistently regularizing light-cone-quantized gauge theories in Feynman and light-cone gauges: (1) the introduction of a spectrum of Pauli--Villars fields which produces a finite theory while preserving Lorentz invariance; (2) the augmentation of the gauge-theory Lagrangian with higher derivatives.