English

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

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0111009,
  title  = {On the correspondence between Light-Front Hamiltonian approach and Lorentz-covariant formulation for Quantum Gauge Theory},
  author = {S. A. Paston and E. V. Prokhvatilov and V. A. Franke},
  journal= {arXiv preprint arXiv:hep-th/0111009},
  year   = {2009}
}

Comments

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