Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics

Details Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics

2010-06-28

arxiv.org/abs/1006.5282v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure To be published in Physical Review D

Scientific paper

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.

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