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

P. Grangé (1) , Jean-Francois Mathiot (2) , B. Mutet (1) , E. Werner (3)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules
2 LPC - Laboratoire de Physique Corpusculaire - Clermont-Ferrand
3 Institut fur Theoretische Physik, D-93040, Universitat Regensburg - Germany

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Théorie [hep-th]

P. Grangé, Jean-Francois Mathiot, B. Mutet, E. Werner. Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics. Physical Review D, 2010, 82, pp.025012. ⟨10.1103/PhysRevD.82.025012⟩. ⟨in2p3-00515253⟩