Constructing the light-front QCD Hamiltonian

Abstract

We propose the light-front Lagrangian and the corresponding Hamiltonian that produce a theory perturbatively equivalent to the conventional QCD in the Lorentz coordinates after the regularization is removed. The regularization used is nonstandard and breaks the gauge invariance. But after the regularization is removed, this invariance is restored by the introduction of a finite number of counterterms with coefficients dependent on the regularization parameters.

LaTex 2.09, 22 pages, 2 figures. In this corrected version the counterterms are given in more exact form

Cited by in corpus (7)

• A nonperturbative calculation of the electron's magnetic moment
• On the nonperturbative solution of Pauli--Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations
• The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions
• Two-boson truncation of Pauli-Villars-regulated Yukawa theory
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Construction of Perturbatively Correct Light Front Hamiltonian for (2+1)-Dimensional Gauge Theory
• Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front