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

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

2009-09-09

arxiv.org/abs/0909.1715v2

Phys.Rev.D80:105012,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.80.105012

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.

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