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We study heavy quarkonium within the light-front Hamiltonian formalism. Our effective Hamiltonian is based on the holographic QCD confining potential and the one-gluon exchange interaction with a running coupling. The obtained spectra are…

Nuclear Theory · Physics 2017-09-13 Yang Li

Numerical results for the calculation of the (rest-frame) $Q\bar{Q}$ potential, for light-front quantized $QCD_{2+1}$ on a $\perp$ lattice are presented. Both in the longitudinal as well as the $\perp$ spatial directions one obtains linear…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , Stanley J. Brodsky

An outstanding goal of physics is to find solutions that describe hadrons in the theory of strong interactions, Quantum Chromodynamics (QCD). For this goal, the light-front Hamiltonian formulation of QCD (LFQCD) is a complementary approach…

Numerical results for the (rest-frame) $Q\bar{Q}$ potential in light-front quantized $QCD_{2+1}$ on a $\perp$ lattice are presented. Both in the longitudinal as well as the $\perp$ spatial directions one obtains linear confinement. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance $r$…

High Energy Physics - Lattice · Physics 2013-05-30 Alexander Rothkopf , Tetsuo Hatsuda , Shoichi Sasaki

Pure glue QCD is formulated on a 2+1 dimensional transverse lattice, using discrete light-front quantization. The transverse component of the gauge fields is taken to be compact, but in a linearized approximation with an effective…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Burkardt , B. Klindworth

We obtain the binding energy of an infinitely heavy quark-antiquark pair from Dirac brackets by computing the expectation value of the pure QCD Hamiltonian. This procedure exploits the rich structure of the dressing around static fermions.…

High Energy Physics - Theory · Physics 2014-11-18 Patricio Gaete

Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They…

Nuclear Theory · Physics 2009-11-10 Michael Beyer

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing light-front gauge and adopting a basis function…

Nuclear Theory · Physics 2009-09-29 J. P. Vary , H. Honkanen , Jun Li , P. Maris , S. J. Brodsky , P. Sternberg , E. G. Ng , C. Yang

An introductory overview on Light-Front quantization, with some emphasis on recent achievements, is given. Light-Front quantization is the most promising and physical tool to study deep inelastic scattering on the basis of quark gluon…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

Light-front quantization to many-particle systems of finite temperature and density provides a novel approach towards a relativistic description of quark matter and allows us to calculate the perturbative as well as the non-perturbative…

Nuclear Theory · Physics 2009-11-11 M. Beyer , S. Mattiello , S. Strauss

The light-front heavy quark effective theory is derived to all orders in $1/m_Q$. In the limit $m_Q\rightarrow \infty$, the theory exhibits the familiar heavy quark spin-flavor symmetry. This new formalism permits a straightforward…

High Energy Physics - Phenomenology · Physics 2015-06-25 Wei-Min Zhang , Guey-Lin Lin , Chi-Yee Cheung

We propose the light-front Lagrangian and the corresponding Hamiltonian that produce a theory perturbatively equivalent to the conventional QCD in the Lorentz coordinates after the regularization is removed. The regularization used is…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Paston , V. A. Franke , E. V. Prokhvatilov

Starting from the meson-meson Green function in 3+1 dimensional quenched lattice QCD we calculate potentials between heavy-light mesons for various light-quark mass parameters. For the valence quarks we employ the staggered scheme. The…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , A. Mihaly , H. Markum , K. Rabitsch

The method of flow equations is applied to QED on the light front. Requiring that the particle number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained…

High Energy Physics - Theory · Physics 2007-05-23 Elena Gubankova

We attempt to get a polynomial solution to the inverse problem, that is, to determine the form of the mechanical Hamiltonian when given the energy spectrum and transition dipole moment matrix. Our approach is to determine the potential in…

Quantum Physics · Physics 2016-09-29 Nathan J. Dawson , Mark G. Kuzyk

This is the first of a sequence of papers that address the non-perturbative origin of the central, and spin-dependent forces between quarks. Its main thrust is a focus on meson spectroscopy in the center of mass frame. We suggest a "dense…

High Energy Physics - Phenomenology · Physics 2022-08-10 Edward Shuryak , Ismail Zahed

Fundamental theories, such as Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD) promise great predictive power addressing phenomena over vast scales from the microscopic to cosmic scales. However, new non-perturbative tools are…

Nuclear Theory · Physics 2015-05-30 James P. Vary

This paper concerns a method of describing hadrons that starts with the canonical front form Hamiltonian of QCD. The method is developed in the relatively simple context of QCD with only heavy quarks. We regulate its canonical Hamiltonian…

High Energy Physics - Phenomenology · Physics 2023-10-03 Kamil Serafin , María Gómez-Rocha , Jai More , S. D. Głazek
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