1996/11/18 by A. N. Mitra, Mitra, A. N.
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.hep-th/9611129
Using the method of Green's functions within the framework of a Bethe-Salpeter formalism characterized by a pairwise qq interaction with a 3D support to its kernel (expressed in a Lorentz-covariant manner), the 4D BS wave function for a system of three identical relativistic spinless quarks is reconstructed from the corresponding 3D form which satisfies a \it fully connected 3D BSE. This result is a 3-body generalization of a similar interconnection between the 3D and 4D 2-body wave functions that had been found earlier under identical conditions of a 3D support to the corresponding BS kernel, using the ansatz of Covariant Instaneity for the pairwise q q interaction. The generalization from spinless to fermion quarks is straightforward.