On the correspondence between Light-Front Hamiltonian approach and Lorentz-covariant formulation for Quantum Gauge Theory

Abstract

The problem of the restoring of the equivalence between Light-Front (LF) Hamiltonian and conventional Lorentz-covariant formulations of gauge theory is solved for QED(1+1) and (perturbatively to all orders) for QCD(3+1). For QED(1+1) the LF Hamiltonian is constructed which reproduces the results of Lorentz-covariant theory. This is achieved by bosonization of the model and by analysing the resulting bosonic theory to all orders in the fermion mass. For QCD(3+1) we describe nonstandard regularization that allows to restore mentioned equivalence with finite number of counterterms in LF Hamiltonian.

LaTeX, 5 pages. Proceedings of "Light-cone physics: particles and strings, TRENTO 2001"

References in corpus (1)

• Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates

Cited by in corpus (3)

• Equivalence of Covariant and Light Front QED: Generating Instantaneous Diagrams
• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• Construction of Perturbatively Correct Light Front Hamiltonian for (2+1)-Dimensional Gauge Theory