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We calculate a renormalized Hamiltonian for pure-glue QCD and diagonalize it. The renormalization procedure is designed to produce a Hamiltonian that will yield physical states that rapidly converge in an expansion in free-particle…

High Energy Physics - Theory · Physics 2009-10-31 Brent H. Allen , Robert J. Perry

Light-Front Quantization provides a physical, frame-independent formalism for hadron dynamics and structure. Observables such as structure functions, transverse momentum distributions, and distribution amplitudes are defined from the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Stanley J. Brodsky

The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front…

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

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum…

High Energy Physics - Theory · Physics 2009-10-28 K. G. Wilson , T. Walhout , A. Harindranath , W. M. Zhang , R. J. Perry , S. Glazek

The QCD light-front Hamitonian equation derived from quantization at fixed LF time provides a causal, frame-independent, method for computing hadron spectroscopy and dynamical observables. de Alfaro, Fubini, and Furlan (dAFF) have made an…

High Energy Physics - Phenomenology · Physics 2017-09-06 Stanley J. Brodsky

Light-Front quantization is one of the most promising and physical tools towards studying deep inelastic scattering on the basis of quark gluon degrees of freedom. The simplified vacuum structure (nontrivial vacuum effects can only appear…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark.…

High Energy Physics - Theory · Physics 2011-09-13 Hans-Christian Pauli

In principle, quantum chromodynamics provides a fundamental description of hadronic and nuclear structure and dynamics in terms of their elementary quark and gluon degrees of freedom. In practice, the direct application of QCD to reactions…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky , D. G. Robertson

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

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the…

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

Light-front wavefunctions provide a frame-independent representation of hadrons in terms of their physical quark and gluon degrees of freedom. The light-front Hamiltonian formalism provides new nonperturbative methods for obtaining the QCD…

High Energy Physics - Theory · Physics 2017-08-23 S. J. Brodsky

Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

Light-Front Hamiltonian theory provides a rigorous frame-independent framework for solving nonperturbative QCD. The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

We observe that the linear potential used as a leading approximation for describing color confinement in the instant form of dynamics corresponds to a quadratic confining potential in the front form of dynamics. In particular, the…

High Energy Physics - Phenomenology · Physics 2014-10-22 Arkadiusz P. Trawiński , Stanisław D. Głazek , Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

In these lectures, I survey a number of applications of light-front methods to hadron and nuclear physics phenomenology and dynamics, Light-front Fock-state wavefunctions provide a frame-independent representation of hadrons in terms of…

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

Light-front Fock state wavefunctions encode the bound state properties of hadrons in terms of their quark and gluon degrees of freedom at the amplitude level. The freedom to choose the light-like quantization four-vector provides an…

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

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

We present a simple discussion of the appearance of light-front partons in local field theory.The description in terms of partons provides a dimensional reduction which relates a 2+1 with a 3+1 dimensional theory for example. The…

High Energy Physics - Theory · Physics 2009-12-30 Antal Jevicki

One of the most fundamental problems in Quantum Chromodynamics is to understand the origin of the mass scale which controls the range of color confinement and the hadronic spectrum. We show that a mass gap and a fundamental color…

High Energy Physics - Theory · Physics 2015-06-19 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

Two-dimensional quantum cromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained.…

High Energy Physics - Theory · Physics 2009-10-22 P. Gaete , J. Gamboa , I. Schmidt