Taylor-Lagrange renormalization scheme: Application to light-front dynamics

Journal Article · Sun Nov 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.105012· OSTI ID:21313402

Grange, P; Mutet, B ^[1]; Mathiot, J -F ^[2]; Werner, E ^[3]

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1. Laboratoire de Physique Theorique et Astroparticules, Universite Montpellier II, CNRS/IN2P3, Place E. Bataillon, F-34095 Montpellier Cedex 05 (France)
2. Clermont Universite, Universite Blaise Pascal, Laboratoire de Physique Corpusculaire, BP 10448, F-63000 Clermont-Ferrand (France)
3. Institut fuer Theoretische Physik, Universitaet Regensburg, Universitaetstrasse 31, D-93053 Regensburg (Germany)

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 formulas, 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.

• OSTI ID: 21313402
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
DISTRIBUTION
FIELD OPERATORS
RENORMALIZATION
TWO-BODY PROBLEM
VISIBLE RADIATION
YUKAWA POTENTIAL