Enrique Ruiz Arriola

Dimension two condensates and the Polyakov loop above the deconfinement phase transition

We show that recent available lattice data for the renormalized Polyakov loop above the deconfinement phase transition exhibit unequivocal inverse power temperature corrections driven by a dimension 2 gluon condensate. This simple ansatz provides a good overall description of the data throughout the deconfinement phase until near the critical temperature with just two parameters. One of the parameters is consistent with perturbation theory while a second, non perturbative, parameter provides a numerical value of the condensate which is close to existing zero and finite temperature determinations.

Generalized parton distributions of the pion in chiral quark models and their QCD evolution

We evaluate generalized parton distributions of the pion in two chiral quark models: the spectral quark model and the Nambu-Jona-Lasinio model with a Pauli-Villars regularization. We proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the a representation of propagators. As a result polynomiality is incorporated automatically and calculations become simple. In addition, positivity and normalization constraints, sum rules, and soft-pion theorems are fulfilled. We obtain explicit formulas, holding at the low-energy quark-model scale. The expressions exhibit no factorization in the t-dependence. The QCD evolution of those parton distributions is carried out to experimentally or lattice accessible scales. We argue for the need of evolution by comparing the parton distribution function and the parton distribution amplitude of the pion to the available experimental and lattice data, and confirm that the quark-model scale is low, about 320 MeV.

Landau-gauge condensates from the quark propagator on the lattice

We compute the dimension-2 condensate

Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model

⟨{A}^{2}⟩

Systematics of radial and angular-momentum Regge trajectories of light non-strange q\bar{q}-states

and dimension-4 mixed condensate

A Variational Approach to the Schrödinger–Poisson System: Asymptotic Behaviour, Breathers, and Stability

⟨\overline{q}\mathrm{A\ensuremath{\llap{\not\;}}}q⟩

Impact-parameter dependence of the generalized parton distribution of the pion in chiral quark models

from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product Expansion in the fiducial region

Spectral quark model and low-energy hadron phenomenology

1.2\text{ }\text{ }\mathrm{G}\mathrm{e}\mathrm{V}\ensuremath{\le}Q\ensuremath{\le}3\text{ }\text{ }\mathrm{G}\mathrm{e}\mathrm{V}

Dimension-two gluon condensate from large-N{sub c} Regge models

. Our result for the dynamical gluon mass at the scale of

Meson dominance of hadron form factors and large-

10\text{ }\text{ }{\mathrm{G}\mathrm{e}\mathrm{V}}^{2}