%0 Journal Article
%T Taylor-Lagrange renormalization scheme. Application to light-front dynamics
%+ Laboratoire de Physique Théorique et Astroparticules (LPTA)
%+ Laboratoire de Physique Corpusculaire - Clermont-Ferrand (LPC)
%+ Institut fur Theoretische Physik, D-93040, Universitat Regensburg - Germany
%A Grange, P.
%A Mathiot, Jean-Francois
%A Mutet, B.
%A Werner, E.
%Z 26 pages, 6 figures
%< avec comité de lecture
%Z PCCF RI 0904
%@ 1550-7998
%J Physical Review D
%I American Physical Society
%V 80
%P 105012
%8 2009
%D 2009
%Z 0909.1715
%R 10.1103/PhysRevD.80.105012
%Z 11.10.Ef, 11.10.-z, 11.10.Gh, 11.15.Tk
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X 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.
%G English
%L in2p3-00417608
%U https://hal.in2p3.fr/in2p3-00417608
%~ IN2P3
%~ PRES_CLERMONT
%~ LPTA
%~ LPC-CLERMONT
%~ CNRS
%~ UNIV-BPCLERMONT
%~ UNIV-MONTP2
%~ UNIV-MONTPELLIER
%~ UM1-UM2