Research output: Contribution to journal › Article › peer-review
A NONPERTURBATIVE CALCULATION OF THE ELECTRON’S MAGNETIC MOMENT. / Brodsky, S.J.; Franke, V.A.; Hiller, J.R.; McCartor, G.; Paston, S.A.; Prokhvatilov, E.V.
In: Nuclear Physics B, No. 1-2, 2004, p. 333-362.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - A NONPERTURBATIVE CALCULATION OF THE ELECTRON’S MAGNETIC MOMENT
AU - Brodsky, S.J.
AU - Franke, V.A.
AU - Hiller, J.R.
AU - McCartor, G.
AU - Paston, S.A.
AU - Prokhvatilov, E.V.
PY - 2004
Y1 - 2004
N2 - 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. In the latter case, which is applicable to light-cone gauge (A+ = 0), the A- component of the gauge field is maintained as an independent degree of freedom rather than a constraint. Finite
AB - 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. In the latter case, which is applicable to light-cone gauge (A+ = 0), the A- component of the gauge field is maintained as an independent degree of freedom rather than a constraint. Finite
M3 - Article
SP - 333
EP - 362
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -
ID: 5143144