Speaker
Description
The Schwinger-Dyson equations (DSE) were obtained from a mass functional generation $M(p)$ for a fermion propagator. The DSE are obtained, which are analogous to the Euler-Lagrange equations in Quantum field theory (QFT), since they are the equations of motion of the Green's functions . The DSE's are an infinite set of integral equations coupled to each other and it is only possible to solve them by means of a truncation scheme. The Bethe-Salpeter equations (BSE) have as a solution the wave function of the states bound to a system of two particles. The BSEs are obtained from a covariant relativistic formalism. We solve abelian models for quantum chromodynamics (QCD) at low energies, which rules allow us to obtain the spectrum of mass from pseudoscalar mesons $J_p =0^-$ and the decay constants.