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arXiv · 1006.5282

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

P. Grangé·J. -F. Mathiot·B. Mutet·E. Werner
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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.

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P. Grangé, J. -F. Mathiot, B. Mutet, E. Werner. 2010-06-28. Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics. https://doi.org/10.1103/physrevd.82.025012

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