Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
arXiv:1311.4381 · doi:10.1007/s10773-014-2212-8
Abstract
We address the problem of nonperturbative calculations on the light front in quantum field theory regularized by Pauli-Villars method. As a preliminary step we construct light front Hamiltonians in (2+1)-dimensional model, for the cases without and with spontaneous symmetry breaking. The renormalization of these Hamiltonians in Pauli-Villars regularization is carried out via comparison of all-order perturbation theory, generated by these Hamiltonians, and the corresponding covariant perturbation theory in Lorentz coordinates.
arXiv commentLaTeX, 18 pages, 2 figures. Appendix B has been replaced. Some changes have been made in Introduction and Conclusion. The new list of references is more complete. Article will be published in International Journal of Theoretical Physics, the final publication is available at link.springer.com
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