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

Abstract

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.

18 pages, 6 figures, introduction changed, corrected typos, to be published in Physical Review D

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Cited by in corpus (10)

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• Nonperturbative renormalization in light-front dynamics and applications
• Aspects of fine-tuning of the Higgs mass within finite field theories
• The Epstein-Glaser causal approach to the Light-Front QED${}_4$. I: Free theory
• Radiative corrections in the Yukawa model within the null-plane causal perturbation theory framework
• The Epstein-Glaser causal approach to the Light-Front QED${}_4$. II: Vacuum Polarization tensor
• The fate of the axial anomaly in a finite field theory
• Finite Z-less integral expressions for $\beta$-functions in the MS4 scheme
• The fate of infrared divergences in a finite formulation of field theory: QED revisited