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Regularizing the Divergent Structure of the Light-Front Currents by Bakker, Bernard L. G.; Choi, Ho-Meoyng; Ji, Chueng-Ryong is a scholarly article available to read on EtoBox.

What is Regularizing the Divergent Structure of the Light-Front Currents about?

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.

Author

Bakker, Bernard L. G.; Choi, Ho-Meoyng; Ji, Chueng-Ryong

Published

2000

Language

EN