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

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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Contributor : Jeanine Pellet <>
Submitted on : Monday, September 6, 2010 - 1:29:06 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM

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

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