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The correspondence between theories in anti-de Sitter space and conformal field theories in physical space-time leads to an analytic, semiclassical model for strongly-coupled QCD which has scale invariance at short distances and color…

High Energy Physics - Phenomenology · Physics 2014-08-27 Stanley J. Brodsky , Guy de Teramond , Robert Shrock

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

Light-front formulations of quantum field theories have many advantages for computing electroweak matrix elements of strongly interacting systems and other quantities that are used to study hadronic structure. The theory can be formulated…

High Energy Physics - Phenomenology · Physics 2023-04-14 Wayne Polyzou

The theory of the strong interactions, Quantum Chromodynamics (QCD), has been addressed by a variety of non-perturbative techniques over the decades since its introduction. We have investigated Hamiltonian formulations with different…

High Energy Physics - Theory · Physics 2007-05-23 J. P. Vary , T. J. Fields J. R. Spence , H. W. L. Naus , H. J. Pirner , K. S. Gupta

We study the part of the renormalized, cutoff QED light-front Hamiltonian that does not change particle number. The Hamiltonian contains interactions that must be treated in second-order bound state perturbation theory to obtain hyperfine…

High Energy Physics - Phenomenology · Physics 2010-11-19 Martina Brisudova , Robert Perry

Canonical formulation of quantum field theory on the Light Front (LF) is reviewed. The problem of constructing the LF Hamiltonian which gives the theory equivalent to original Lorentz and gauge invariant one is considered. We describe…

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

Quantum Chromodynamics (QCD) exhibits complementary descriptions of hadrons: a rest-frame picture based on confinement, chiral symmetry breaking and interquark forces, and a high-energy light-front picture expressed through parton…

High Energy Physics - Phenomenology · Physics 2026-01-22 Edward Shuryak , Ismail Zahed

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory…

High Energy Physics - Phenomenology · Physics 2010-12-13 Hans-Christian Pauli

A fundamental goal in QCD is to understand the non-perturbative structure of hadrons at the amplitude level--not just the single-particle flavor, momentum, and helicity distributions of the quark constituents, but also the multi-quark,…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

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

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

This brief review presents the key components of light-front holographic quantum chromodynamics (HLFQCD). Particular attention is given to the introduction of the QCD color confinement scale within the context of a graded superconformal…

High Energy Physics - Phenomenology · Physics 2025-10-24 Hans Guente Dosch , Guy F. de Teramond , Stanley J. Brodsky

To a first semiclassical approximation one can reduce the multi-parton light-front problem in QCD to an effective one-dimensional quantum field theory, which encodes the fundamental conformal symmetry of the classical QCD Lagrangian. This…

High Energy Physics - Phenomenology · Physics 2015-06-18 Guy F. de Teramond , Stanley J. Brodsky , Hans Günter Dosch

The new light-front coupled-cluster (LFCC) method for the nonperturbative solution of Hamiltonian eigenvalue problems is described and then illustrated in an application to quantum electrodynamics. The method eliminates any necessity for a…

High Energy Physics - Phenomenology · Physics 2012-03-02 S. S. Chabysheva , J. R. Hiller

The light-front representation of quantum chromodynamics provides a frame-independent, quantum-mechanical representation of hadrons at the amplitude level, capable of encoding their multi-quark, hidden-color and gluon momentum, helicity,…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

I review how the application of superconformal quantum mechanics and light-front holography leads to new insights into the physics of color confinement, the spectroscopy and dynamics of hadrons, as well as surprising supersymmetric…

High Energy Physics - Phenomenology · Physics 2025-03-31 Stanley J. Brodsky

We discuss the light-cone quantization of gauge theories as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer.…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Brodsky , H-C Pauli , S. Pinsky

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 the light-front gauge and adopting a basis…

Hamiltonian light-front field theory can be used to solve for hadron states in QCD. To this end, a method has been developed for systematic renormalization of Hamiltonian light-front field theories, with the hope of applying the method to…

High Energy Physics - Theory · Physics 2016-08-25 Roger D. Kylin , Brent H. Allen , Robert J. Perry

Non-perturbative Hamiltonian light-front quantum field theory presents opportunities and challenges that bridge particle physics and nuclear physics. Fundamental theories, such as Quantum Chromodynmamics (QCD) and Quantum Electrodynamics…