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QCD

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Full-Text Articles in Physics

A Harmonic Solution For Two-Dimensional Adjoint Qcd, Uwe Trittmann Aug 2018

A Harmonic Solution For Two-Dimensional Adjoint Qcd, Uwe Trittmann

Physics Faculty Scholarship

Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory’s spectrum, we developed a method to find the basis of eigenstates using the symmetry structure of the asymptotic theory where pair production is disallowed. This method produces complete sets of multidimensional harmonic functions for the massless and the massive theory. Previously only part of such a basis was known. The method presented here should be applicable to other theories and has the promise of factoring out the long-range Coulomb-type part of interactions. …


Renormalization Scale Invariant Pqcd Predictions For R(E+ E-) And The Bjorken Sum Rule At Next-To-Leading Order, Michael Binger, Chueng-Ryong Ji, David G. Robertson May 2000

Renormalization Scale Invariant Pqcd Predictions For R(E+ E-) And The Bjorken Sum Rule At Next-To-Leading Order, Michael Binger, Chueng-Ryong Ji, David G. Robertson

Physics Faculty Scholarship

We discuss the application of the physical QCD effective charge αV, defined via the heavy-quark potential, in perturbative calculations at next-to-leading order. When coupled with the Brodsky-Lepage-Mackenzie prescription for fixing the renormalization scales, the resulting series are automatically and naturally scale and scheme independent, and represent unambiguous predictions of perturbative QCD. We consider in detail such commensurate scale relations for the e+e− annihilation ratio Re+e− and the Bjorken sum rule. In both cases the improved predictions are in excellent agreement with experiment.


Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson Jun 1998

Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson

Physics Faculty Scholarship

Continuing our previous QCD Hamiltonian studies in the gluonic and quark sectors, we describe a new renormalization procedure which generates an effective Hamiltonian. The formulation, which is in the Coulomb gauge, provides an improved framework for investigating hadron structure.


Physical Coupling Schemes And Qcd Exclusive Processes, David G. Robertson Feb 1997

Physical Coupling Schemes And Qcd Exclusive Processes, David G. Robertson

Physics Faculty Scholarship

I discuss application of the BLM method to obtain commensurate scale relations connecting QCD exclusive amplitudes to other observables, in particular the heavy quark potential.


Light Cone Quantization And Qcd Phenomenology, Stanley J. Brodsky, David G. Robertson Jul 1995

Light Cone Quantization And Qcd Phenomenology, Stanley J. Brodsky, David G. Robertson

Physics Faculty Scholarship

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 involving the structure of hadrons is complex because of the interplay of nonperturbative effects such as color confinement and multi-quark coherence. A crucial tool in analyzing such phenomena is the use of relativistic light-cone quantum mechanics and Fock state methods to provide tractable and consistent treatments of relativistic many-body systems. We begin with a brief introduction to light-cone field theory, stressing how it may allow …


Light Front Qcd And The Constituent Quark Model, Kenneth G. Wilson, David G. Robertson Aug 1994

Light Front Qcd And The Constituent Quark Model, Kenneth G. Wilson, David G. Robertson

Physics Faculty Scholarship

A general strategy is described for deriving a constituent approximation to QCD, inspired by the constituent quark model and based on light-front quantization. Some technical aspects of the approach are discussed, including a mechanism for obtaining a confining potential and ways in which spontaneous chiral symmetry breaking can be manifested