English

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

High Energy Physics - Theory 2008-11-26 v1

Abstract

The relationship between the perturbation theory in light-front coordinates and Lorentz-covariant perturbation theory is investigated. A method for finding the difference between separate terms of the corresponding series without their explicit evaluation is proposed. A procedure of constructing additional counter-terms to the canonical Hamiltonian that compensate this difference at any finite order is proposed. For the Yukawa model, the light-front Hamiltonian with all of these counter-terms is obtained in a closed form. Possible application of this approach to gauge theories is discussed.

Keywords

Cite

@article{arxiv.hep-th/9901110,
  title  = {Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates},
  author = {S. A. Paston and V. A. Franke},
  journal= {arXiv preprint arXiv:hep-th/9901110},
  year   = {2008}
}

Comments

LaTex 2.09, 20 pages, 5 figures