We develop a new method of solving the Bethe-Salpeter (BS) equation in Minkowski space.
It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi …

The technique of projecting the four-dimensional two-body Bethe–Salpeter equation onto
the three-dimensional Light-Front hypersurface, combined with the quasi-potential …

The Bethe-Salpeter equation for a bound system, composed by two massive scalars
exchanging a massive scalar, is quantitatively investigated in ladder approximation, within …

The Nakanishi perturbative integral representation of the four-dimensional T-matrix is
investigated in order to get a workable treatment for scattering states, solutions of the …

We review the interface between the current theoretical framework based on generalized
parton distributions (GPDs) and experimental measurements of deeply virtual Compton …

Abstract The bound state Bethe–Salpeter amplitude was expressed by Nakanishi using a
two-dimensional integral representation, in terms of a smooth weight function g, which …

We discuss the higher Fock-state (qq¯ g) contributions to the nonzero value of the pion
generalized parton distribution (GPD) at the crossover point x= ζ between the DGLAP and …

We propose a three-dimensional electromagnetic current operator within light-front
dynamics that satisfies a light-front Ward-Takahashi identity for two-fermion systems. The …

Different approaches to solve the spinor–spinor Bethe–Salpeter (BS) equation in Euclidean
space are considered. It is argued that the complete set of Dirac matrices is the most …

A new method for solving the Bethe-Salpeter equation is developed. It allows to find the
Bethe-Salpeter amplitudes both in Minkowski and in Euclidean spaces and, as a by product …