Speaker
Description
The solution of the Bethe-Salpeter equation in Minkowski space resorting to an integral representation will be discussed for different systems composed by fermions and bosons. This framework provides results for the momentum distributions and electromagnetic form factor of a dynamical pion model [1] with constituent quarks exchanging an effective gluon inspired by lattice calculations of the gluon dressing function, and a phenomenological quark-gluon vertex [2], which will be also discussed. A recent application to a fermion-boson system, resembling a quark-diquark model of the nucleon [3], is also reported and the associate momentum distributions will be shown. In particular for this model the issue of scale invariance is addressed. In addition, we discuss some future directions of this Minkowski space framework to describe the hadron structure.
[1] W. de Paula, T. Frederico, G. Salmè, M. Viviani, R. Pimentel,
Eur. Phys. Jour. C 77, 764 (2017).
[2]O. Oliveira, W. de Paula, T. Frederico, J. P. B. C. de Melo,
Eur. Phys. Jour. C 79, 116 (2019).
[3]J. H. A. Nogueira, V. Gherardi, T. Frederico, G. Salmè, D. Colasante, E. Pace,
Phys. Rev. D 100, 016021 (2019).
