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Results from an extensive relativistic many-body analysis utilizing a realistic effective QCD Hamiltonian are presented for the meson spectrum. A comparative numerical study of the BCS, TDA and RPA treatments provides new, significant…

High Energy Physics - Phenomenology · Physics 2008-11-26 Felipe J. Llanes-Estrada , Stephen R. Cotanch

A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin type model for quarks coupled to gluons. The basic building blocks are pairs of quark-antiquarks coupled to a definite…

Nuclear Theory · Physics 2011-07-19 S. Lerma , S. Jesgarz , P. O. Hess , O. Civitarese , M. Reboiro , .

Utilizing a QCD Coulomb gauge Hamiltonian with linear confinement specified by lattice, we report a relativistic many-body calculation for the light exotic and charmed hybrid mesons. The Hamiltonian successfully describes both quark and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Felipe J. Llanes-Estrada , Stephen R. Cotanch

We represent QCD at the hadronic scale by means of an effective Hamiltonian, H, formulated in the Coulomb gauge. As in the Nambu-Jona-Lasinio model, chiral symmetry is dynamically broken, however our approach is renormalizable and also…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen R. Cotanch , Felipe J. Llanes-Estrada

The exploration of the non-perturbative regime of QCD, that is the low-energy portion of the hadron spectrum, requires the adoption of theoretical methods more frequently applied to other, more conventional, quantum many body systems, like…

Nuclear Theory · Physics 2021-09-01 Tochtli Yepez-Martinez , Peter O. Hess , Osvaldo Civitarese

We review recent progress in modeling the quark-gluon content of mesons and their low-energy interactions through the Global Color Model field theory. An emphasis is placed on techniques that are shared with the approach based on…

Nuclear Theory · Physics 2009-10-30 P. C. Tandy

We represent QCD at the hadronic scale by means of an effective Hamiltonian, $H$, formulated in the Coulomb gauge. As in the Nambu-Jona-Lasinio model, chiral symmetry is explicity broken, however our approach is renormalizable and also…

High Energy Physics - Phenomenology · Physics 2011-07-19 Felipe J. Llanes-Estrada , Stephen R. Cotanch

The Global Colour Model(GCM) of QCD is used to extract low energy quark-gluon processes from experimental data. The resultant effective quark-quark coupling correlator is compared with that of Jain and Munczek, and with the combined lattice…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reginald T. Cahill , Susan M. Gunner

The simplest version of a class of toy models for QCD is presented. It is a Lipkin-type model, for the quark-antiquark sector, and, for the gluon sector, gluon pairs with spin zero are treated as elementary bosons. The model restricts to…

Nuclear Theory · Physics 2009-11-07 S. Lerma , S. Jesgarz , P. O. Hess , O. Civitarese , M. Reboiro

QCD at large density reveals a rich phase structure, ranging from a potential critical end point and inhomogeneous phases or moat regimes to color superconducting ones with competing order effects. Resolving this region in the phase diagram…

High Energy Physics - Theory · Physics 2023-09-15 Friederike Ihssen , Jan M. Pawlowski , Franz R. Sattler , Nicolas Wink

We discuss the transformation of the QCD temporal-gauge Hamiltonian to a representation in which it can be expressed as a functional of gauge-invariant quark and gluon fields. We show how this objective can be realized by implementing the…

High Energy Physics - Theory · Physics 2007-05-23 Kurt Haller

The low-energy sector of the mesonic spectrum exhibits some features which may be understood in terms of the SO(4) symmetry contained in the QCD-Hamiltonian written in the Coulomb Gauge. In our previous work we have shown that this is…

Nuclear Theory · Physics 2018-02-14 Tochtli Yépez-Martínez , Osvaldo Civitarese , Peter O. Hess

We compute the electronic and emission properties of Coulomb-correlated multi-particle states (X$^0$, X$^\pm$, XX) in weakly confining GaAs/AlGaAs quantum dots using an 8-band $\mathbf{k}\!\cdot\!\mathbf{p}$ model coupled to continuum…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Petr Klenovský

The Global Colour Model (GCM) of QCD is a quark-gluon quantum field theory that very successfully models QCD for low energy hadronic processes. An effective gluon correlator models the interaction between quark currents. Functional integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reginald T. Cahill , Susan M. Gunner

For a complete description of the physical properties of low-energy QCD, it might be advantageous to first reformulate QCD in terms of gauge-invariant dynamical variables, before applying any approximation schemes. Using a canonical…

High Energy Physics - Theory · Physics 2013-03-18 Hans-Peter Pavel

Using the non-relativisitc reduction of Coulomb gauge QCD we compute spectrum of the low mass hybrid mesons containing a heavy quark-antiquark pair. The gluon degrees of freedom are treated in the mean field approximation calibrated to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Peng Guo , Adam P. Szczepaniak , Giuseppe Galata , Andrea Vassallo , Elena Santopinto

The variational approach to QCD in Coulomb gauge developed previously by the T\"ubingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz…

High Energy Physics - Phenomenology · Physics 2016-03-09 P. Vastag , H. Reinhardt , D. Campagnari

A low energy effective field theory model for QCD with a scalar color octet field is discussed. The model relates the gluon mass, the constituent quark masses and the quark condensate. The gluon mass comes about $\sqrt{N_c}\, \Lambda_{QCD}$…

High Energy Physics - Phenomenology · Physics 2011-05-27 O. Oliveira , W. de Paula , T. Frederico

The low energy behaviour of Quantum Chromodynamics makes unreliable an expansion in terms of its coupling strength, since nothing guarantees the convergence of such expansion. To overcomer such difficulty one resorts to Lattice QCD or…

High Energy Physics - Phenomenology · Physics 2017-08-03 Adolfo Guevara

We present recent results in unquenched lattice QCD with two degenerate light sea quarks using the truncated determinant approximation (TDA). In the TDA the infrared modes contributing to the quark determinant are computed exactly up to…

High Energy Physics - Lattice · Physics 2009-11-07 A. Duncan , E. Eichten , J. Yoo
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