In this talk, I will present some the current efforts to understand the phenomenon of chiral symmetry breaking and the generation of a dynamical quark mass. To do that, we will use the framework of the Schwinger-Dyson equations. We will solve the coupled system of integral equations formed by the quark propagator and the complete non-transverse structure of the quark-gluon vertex, which is...

We consider the magnetic corrections to pi-pi scattering lengths in the linear sigma model. For this purpose we consider all the one loop corrections in the $s$, $t$ and $u$ channels, associate to the insertion of a Schwinger propagator for the charged pions, working in the region of small values of the magnetic field. In our calculation we make use of an appropriate expansion of the...

In this talk, I will discuss how and why the leptonic decay constants of the excited states of the pseudoscalar mesons, in particular the pion, vanish in the chiral limit in Holographic QCD.

In this work, we examine the flavour-dependence of dynamical chiral

symmetry breaking (DCSB) due to the effect of different model kernels in

the gap equation. For that, we have computed the quark's sigma

term and its ratio to the Euclidean constituent mass, that computes the DCSB

contribution.

We present estimates of transition form factors for some nucleon resonances $N^\ast$, based on two independent frameworks. We start with the presentations of results based on light-front holography, for the nucleon and the Roper. Later on, we discuss some results based on a covariant quark model for several resonances $N^\ast$. In general the estimates compare well with data for

intermediate...

The infrared behavior of the three gluon vertex is one of the most prominent subjects of study in current non perturbative QCD, playing a central role in dynamical gluon mass generation through the Schwinger mechanism and being an essential ingredient in the Bethe-Salpeter equation which governs glueballs. However, the analysis of this vertex through Schwinger-Dyson equations (SDEs) is...

We use the linear sigma model coupled to quarks to compute the effective potential beyond the mean field approximation, including the contribution of the ring diagrams at finite temperature and baryon density. We determine the model couplings and use them to study the phase diagram in the baryon chemical potential-temperature plane and then we specifically localize the critical end point .

The properties of strongly interacting matter at finite temperature in a

magnetized medium have received a great deal of attention in recent years.

This is mainly due to the so called Inverse Magnetic Catalysis (IMC)

phenomenon found by LQCD calculations, whereby the pseudo critical quiral

phase transition temperature and the quark condensate above this

transition temperature decrease as a...