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I review progress made in solving gauge theories such as collinear quantum chromodynamics using light-cone Hamiltonian methods. I also show how the light-cone Fock expansion for hadron wavefunctions can be used to compute operator matrix…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky

In previous papers we developed the light front formulation for Hamiltonians and wave functions (WFs) for mesons and baryons, with both confinement and chiral symmetry breaking. For baryons limited to the lowest Fock component with three…

High Energy Physics - Phenomenology · Physics 2025-11-04 Nicholas Miesch , Edward Shuryak , Ismail Zahed

The QCD light-front (LF) Hamiltonian equation H_{LF}|\Psi> = M^2 |\Psi> derived from quantization at fixed LF time \tau = t+z/c provides a causal, frame-independent, method for computing hadron spectroscopy as well as dynamical observables…

High Energy Physics - Phenomenology · Physics 2020-08-26 Stanley J. Brodsky , Alexandre Deur

We calculate the electromagnetic (charge, magnetic and quadrupole) form factors and the associated static moments of heavy quarkonia (charmonia and bottomonia) using the Basis Light Front Quantization (BLFQ) approach. For this work, we…

High Energy Physics - Phenomenology · Physics 2019-03-27 Lekha Adhikari , Yang Li , Meijian Li , James P. Vary

We explore a new method to calculate the valence light-front wave function of a system of two interacting particles, which is based on contour deformations combined with analytic continuation methods to project the Bethe-Salpeter wave…

High Energy Physics - Phenomenology · Physics 2022-02-23 Gernot Eichmann , Eduardo Ferreira , Alfred Stadler

We investigate the structure of the light meson with one dynamical gluon from the light-front QCD Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock sectors, together with a three-dimensional…

High Energy Physics - Phenomenology · Physics 2022-01-19 Jiangshan Lan , Kaiyu Fu , Chandan Mondal , Xingbo Zhao , James P. Vary

We discuss the link between the chiral symmetry of QCD and the numerical results of the light-front quark model (LFQM), analyzing both the two-point and three-point functions of a pseudoscalar meson from the perspective of the vacuum…

High Energy Physics - Phenomenology · Physics 2015-06-23 Ho-Meoyng Choi , Chueng-Ryong Ji

We obtain the pion and the kaon parton distribution functions from the eigenstates of a light front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By taking these scales…

Nuclear Theory · Physics 2019-05-07 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a small-sized basis function representation. Unlike in a standard Hamiltonian formalism, the Hamiltonian in this method is implicit, and the…

High Energy Physics - Phenomenology · Physics 2022-11-30 Meijian Li , Yang Li , Guangyao Chen , Tuomas Lappi , James P. Vary

The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states.…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur , Hans Günter Dosch

Light-cone Fock-state wavefunctions encode the properties of a hadron in terms of its fundamental quark and gluon degrees of freedom. A recent experiment at Fermilab, E791, demonstrates that the color coherence and shape of light-cone…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky

We compute the two-loop QED corrections to the Altarelli-Parisi (AP) splitting functions by using a deconstructive algorithmic Abelianization of the well-known NLO QCD corrections. We present explicit results for the full set of splitting…

High Energy Physics - Phenomenology · Physics 2017-11-15 Daniel de Florian , German F. R. Sborlini , German Rodrigo

The photoleptonic decay $B^-\to \gamma \ell^-\bar{\nu}$ is the simplest low-energy process that probes the substructure of the $B$ meson, making it an excellent candidate to determine the parameters of $B$-meson light-cone distribution…

High Energy Physics - Phenomenology · Physics 2026-02-10 Aoife Bharucha , Danny van Dyk , Eduardo Velásquez

We investigate the leading-twist transverse momentum-dependent distribution functions (TMDs) for a physical electron, a spin-1/2 composite system consisting of a bare electron and a photon, using the Basis Light-front Quantization (BLFQ)…

High Energy Physics - Phenomenology · Physics 2021-02-10 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , J. R. Hiller , D. S. Hwang , V. A. Karmanov

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

Light-front quantization has important advantages for describing relativistic statistical systems, particularly systems for which boost invariance is essential, such as the fireball created in a heavy ion collisions. In this paper we…

High Energy Physics - Theory · Physics 2009-09-11 J. Raufeisen , S. J. Brodsky

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. S. Chabysheva , J. R. Hiller

A field-theoretic formulation of the exponential-operator technique is applied to a Hamiltonian eigenvalue problem in electrodynamics, quantized in light-front coordinates. Specifically, we consider the dressed-electron state, without…

High Energy Physics - Phenomenology · Physics 2012-06-27 S. S. Chabysheva

It may be possible to derive a constituent approximation for bound states in QCD using hamiltonian light-front field theory. Cutoffs that violate explicit gauge invariance and Lorentz covariance must be employed. A similarity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Perry
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