Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics
High Energy Physics - Theory
2014-11-21 v1 High Energy Physics - Phenomenology
Abstract
We show how the recently proposed Taylor-Lagrange renormalization scheme can lead to extensions of singular distributions which are reminiscent of the Pauli-Villars subtraction. However, at variance with the Pauli-Villars regularization scheme, no infinite mass limit is performed in this scheme. As an illustration of this mechanism, we consider the calculation of the self-energy in second order perturbation theory in the Yukawa model, within the covariant formulation of light-front dynamics. We show in particular how rotational invariance is preserved in this scheme.
Cite
@article{arxiv.1006.5282,
title = {Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics},
author = {P. Grangé and J. -F. Mathiot and B. Mutet and E. Werner},
journal= {arXiv preprint arXiv:1006.5282},
year = {2014}
}
Comments
9 pages, 1 figure To be published in Physical Review D