Light-Front projection of spin-1 electromagnetic current and zero-modes

Abstract

The issue of the contribution of zero-modes to the light-front projection of the electromagnetic current of phenomenological models of vector particles vertices is addressed in the Drell-Yan frame. Our analytical model of the Bethe-Salpeter amplitude of a spin-1 fermion-antifermion composite state gives a physically motivated light-front wave function symmetric by the exchange of the fermion and antifermion, as in the $\rho$-meson case. We found that among the four independent matrix elements of the plus component in the light-front helicity basis only the $0\to 0$ one carries zero mode contributions. Our derivation generalizes to symmetric models, important for applications, the above conclusion found for a simplified non-symmetrical form of the spin-1 Bethe-Salpeter amplitude with photon-fermion point-like coupling and also for a smeared fermion-photon vertex model.

Use elservier style. 14 pages

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Cited by in corpus (7)

• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Pion and kaon elastic form factors in a refined light-front model
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Light-Front Spin-1 Model: Parameters Dependence
• In-medium rho-meson properties in a light-front approach
• Electromagnetic spin-1 form-factor free of zero-modes
• Pseudoscalar current and covariance with the light-front approach