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Physical Review D 82 (2010) 025012
Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics
P. Grangé1, J.F. Mathiot2, B. Mutet1, E. Werner3

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.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
2 :  LPC-CLERMONT - Laboratoire de Physique Corpusculaire de Clermont-Ferrand
3 :  Institut fur Theoretische Physik, D-93040, Universitat Regensburg - Germany
Physique/Physique des Hautes Energies - Phénoménologie

Physique/Physique des Hautes Energies - Théorie
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