María Gómez-Rocha

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach

In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of QCD, we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present results for ground and excited meson states in the bottomonium and charmonium systems, where the results are surprisingly good for most states. In addition, we formulate a critical outlook on states with exotic quantum numbers as well as the light-quark domain.

Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons

Asymptotic freedom of gluons in QCD is obtained in the leading terms of their renormalized Hamiltonian in the Fock space, instead of considering virtual Greens functions or scattering amplitudes. Namely, we calculate the three-gluon interaction term in the front-form Hamiltonian for effective gluons in the Minkowski space-time using the renormalization group procedure for effective particles (RGPEP), with a new generator. The resulting three-gluon vertex is a function of the scale parameter,

First Look at Heavy–Light Mesons with a Dressed Quark–Gluon Vertex

s

Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons

, that has an interpretation of the size of effective gluons. The corresponding Hamiltonian running coupling constant,

On a New Approach to Meson Phenomenology with the Bethe–Salpeter Equation

g_\lambda

Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of the

, depending on the associated momentum scale

B_c^*

\lambda = 1/s

meson mass

, is calculated in the series expansion in powers of

Masses of

g_0 = g_{\lambda_0}

J^{PC} =1^{-+}

up to the terms of third order, assuming some small value for