English

Pauli-Villars Regularization and Light Front Hamiltonian in (2+1)-dimensional Yang-Mills Theory

High Energy Physics - Theory 2016-09-26 v1

Abstract

The renormalization problem of (2+1)-dimensional Yang-Mills theory quantized on the light front is considered. Extra fields analogous to those used in Pauli-Villars regularization are introduced to restore perturbative equivalence between such quantized theory and conventional formulation in Lorentz coordinates. These fields also provide necessary ultraviolet regularization to the theory. Obtained results allow to construct renormalized Hamiltonian of the theory on the light front.

Keywords

Cite

@article{arxiv.1505.00272,
  title  = {Pauli-Villars Regularization and Light Front Hamiltonian in (2+1)-dimensional Yang-Mills Theory},
  author = {M. Yu. Malyshev and S. A. Paston and E. V. Prokhvatilov and R. A. Zubov and V. A. Franke},
  journal= {arXiv preprint arXiv:1505.00272},
  year   = {2016}
}

Comments

LaTeX, 12 pages, 2 figures. Article will be published in Theoretical and Mathematical Physics, the final publication will be available at http://link.springer.com/journal/11232