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...
In this work we investigate the effects of the ghost sector on the dynamical mass generation for the gauge boson of a pure Yang-Mills theory.
The generation of a dynamical mass for the boson is realized by the Schwinger mechanism,
which is triggered by the existence of longitudinally coupled massless poles
in the fundamental vertices of the theory.
The appearance of such poles occur by...
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...
We analyze the unitary Fermi gas in its ground state from an implicit renormalization point of view and compute the effective range dependence of the Bertsch parameter. The tenet of the theory is the scale separation between low and high momentum which we take as the Fermi momentum, and the assumption that energy phenomena below it can be re-parameterized into the low momentum coefficients of...
This talk will contain studies of properties quark-gluon plasma, using some
non-perturbative techniques. It will contain a brief introduction of quark-gluon
plasma (QGP) and discussion on various signatures like Dilepton Production
Rate (DPR) and Quark Number Susceptibilities (QNS) along with a motivation
for this work. In the main work Operator Product Expansion (OPE), Gribov-
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
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
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...