Taylor-Lagrange regularization scheme and light-front dynamics

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

1 LPTA - Laboratoire de Physique Théorique et Astroparticules
2 LPC - Laboratoire de Physique Corpusculaire - Clermont-Ferrand

The recently proposed renormalization scheme based on the definition of field operators as operator valued distributions acting on specific test functions is shown to be very convenient in explicit calculations of physical observables within the framework of light-front dynamics. We first recall the main properties of this procedure based on identities relating the test functions to their Taylor remainder of any order expressed in terms of Lagrange's formulae, hence the name given to this scheme. We thus show how it naturally applies to the calculation of state vectors of physical systems in the covariant formulation of light-front dynamics. As an example, we consider the case of the Yukawa model in the simple two-body Fock state truncation.

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

P. Grangé, Jean-Francois Mathiot, B. Mutet, E. Werner. Taylor-Lagrange regularization scheme and light-front dynamics. Proceedings of the International Workshop Light Cone 2009 (LC2009): Relativistic Hadronic and Particle Physics, Jul 2009, São José dos Campos, Brazil. pp.191-196, ⟨10.1016/j.nuclphysbps.2010.02.027⟩. ⟨in2p3-00473563⟩