Stability of two-fermion bound states in the explicitly covariant Light-Front Dynamics

Abstract

The covariant light-front equations have been solved exactly for a two fermion system with different boson exchange ladder kernels. We present a method to study the cutoff dependence of these equations and to determine whether they need to be regularized or not. Results are presented for scalar and pseudo-scalar exchange. This latter furthermore exhibits some strange particularities which will be discussed.

Comments: 5 pages, 8 figures, to be published in Nucl. Phys. B (Proc. Suppl.), contribution to the XIth Light-cone Meeting at ECT* in Trento, Sep 3-11, 2001