Speaker
Dr
Vitor Gigante
(ITA)
Description
In this work, the Nakanishi perturbative integral representation is, for the first time, used to numerically solve the problem of relativistic bound state of two bosons in 2 + 1 dimensions in space Minkowski.
The Nakanishi perturbative integral representation of the
Bethe-Salpeter amplitude in three (2+1) dimensions is used
in order to obtain the spectrum and structure of bound states, solutions of
the homogeneous Bethe-Salpeter Equation, in Minkowski space.
The projection onto the light-front of the three dimensional
homogeneous Bethe-Salpeter Equation is used to derive
an integral equation for the Nakanishi weight function for bound states.
The formal development is presented in detail and
applied in the study of the bound system, composed by two massive scalars interacting
through the exchange of a massive scalar. A quantitative study of the bound-state solutions of the Bethe-Salpeter equation in 2+1 dimensions is performed by solving numerically the integral equation for the nakanishi weight function. The method was validated quantitatively by comparing our results with calculations of the Euclidian Bethe-Salpeter equation.
Author
Dr
Vitor Gigante
(ITA)
Co-author
Prof.
Tobias Frederico
(ITA)
