Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-08-15
Phys.Rev. D63 (2001) 074014
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages including 9 figures, Changes: 1- changed the title; 2-minor revisions are made in the text; 3-removed the Figs.9-12.
Scientific paper
10.1103/PhysRevD.63.074014
The divergences appearing in the 3+1 dimensional fermion-loop calculations are often regulated by smearing the vertices in a covariant manner. Performing a parallel light-front calculation, we corroborate the similarity between the vertex-smearing-technique and the Pauli-Villars regularization. In the light-front calculation of the electromagnetic meson current, we find that the persistent end-point singularity that appears in the case of point vertices is removed even if the smeared-vertex is taken to the limit of the point-vertex. Recapitulating the current conservation, we substantiate the finiteness of both valence and non-valence contributions in all components of the current with the regularized bound-state vertex. However, we stress that each contribution, valence or non-valence, depends on the reference-frame even though the sum is always frame-independent. The numerical taxonomy of each contribution including the instantaneous contribution and the zero-mode contribution is presented in the $\pi$, $K$, and $D$-meson form factors.
Bakker Bernard. L. G.
Choi Ho-Meoyng
Ji Chueng-Ryong
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