Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review

Abstract

The technique of projecting the four-dimensional two-body Bethe-Salpeter equation onto the three-dimensional Light-Front hypersurface, combined with the quasi-potential approach, is briefly illustrated, by placing a particular emphasis on the relation between the projection method and the effective dynamics of the valence component of the Light-Front wave function. Some details on how to construct the Fock expansion of both i) the Light-Front effective interaction and ii) the electromagnetic current operator, satisfying the proper Ward-Takahashi identity, will be presented, addressing the relevance of the Fock content in the operators living onto the Light-Front hypersurface. Finally, the generalization of the formalism to the three-particle case will be outlined.

16 pages, macros included. Mini-review to be printed in a regular issue of Few-Body Systems devoted to the Workshop on "Relativistic Description of Two- and Three-body Systems in Nuclear Physics" ECT* Trento, 19 - 23 October 2009

References in corpus (6)

• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Time- and Spacelike Nucleon Electromagnetic Form Factors beyond Relativistic Constituent Quark Models
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Light-front Ward-Takahashi Identity for Two-Fermion Systems
• The box diagram in Yukawa theory