Light front quantization—A technique for relativistic and realistic nuclear physics

Miller, Gerald A.

doi:10.1016/s0146-6410(00)00103-4

Cited by 46 publications

(14 citation statements)

References 94 publications

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“…[161][162][163][164][165][166] for reviews) take a different route in this respect. Motivated by the triviality of the vacuum in light-cone quantization, the goal is to calculate the eigenstates of the gauge-fixed QCD Hamiltonian directly by solving large-scale eigenvalue problems.…”

Section: Confinementmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

438

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: Confinementmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

438

530

View full text Add to dashboard Cite

show abstract

“…Later work formulated a relativistic version of Brueckner theory in which the Dirac equation replaces the Schroedinger equation (Anastasio et al, 1983;Brockmann and Machleidt, 1984). There is also a light front version (Miller and Machleidt, 1999a;Miller, 2000). The Brueckner theory approach described above presumes that the two-nucleon potential contains strong short-distance repulsion.…”

Section: From the N N Interaction To The Shell Model And Beyondmentioning

confidence: 99%

Nucleon-nucleon correlations, short-lived excitations, and the quarks within

et al. 2017

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This article reviews our current understanding of how the internal quark structure of a nucleon bound in nuclei differs from that of a free nucleon. We focus on the interpretation of measurements of the EMC effect for valence quarks, a reduction in the Deep Inelastic Scattering (DIS) cross-section ratios for nuclei relative to deuterium, and its possible connection to nucleon-nucleon Short-Range Correlations (SRC) in nuclei. Our review and new analysis (involving the amplitudes of non-nucleonic configurations in the nucleus) of the available experimental and theoretical evidence shows that there is a phenomenological relation between the EMC effect and the effects of SRC that is not an accident. The influence of strongly correlated neutron-proton pairs involving highly virtual nucleons is responsible for both effects. These correlated pairs are temporary high-density fluctuations in the nucleus in which the internal structure of the nucleons is briefly modified. This conclusion needs to be solidified by the future experiments and improved theoretical analyses that are discussed herein.

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“…Many additional details and derivations are given in Ref. [33] and in the many reviews on null-plane quantization [18,19,31,[72][73][74][75][76][77][78][79][80][81][82][83][84][85].…”

Section: Coordinate Conventionsmentioning

confidence: 99%

Aspects of QCD current algebra on a null plane

Beane

Hobbs

2016

Annals of Physics

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Consequences of QCD current algebra formulated on a light-like hyperplane are derived for the forward scattering of vector and axial-vector currents on an arbitrary hadronic target. It is shown that current algebra gives rise to a special class of sum rules that are direct consequences of the independent chiral symmetry that exists at every point on the two-dimensional transverse plane orthogonal to the lightlike direction. These sum rules are obtained by exploiting the closed, infinite-dimensional algebra satisfied by the transverse moments of null-plane axial-vector and vector charge distributions. In the special case of a nucleon target, this procedure leads to the Adler-Weisberger, Gerasimov-Drell-Hearn, Cabbibo-Radicatti and Fubini-Furlan-Rossetti sum rules. Matching to the dispersion-theoretic language which is usually invoked in deriving these sum rules, the moment sum rules are shown to be equivalent to algebraic constraints on forward S-matrix elements in the Regge limit. 1 The same results can be obtained in the usual equal-time quantization (instant-form dynamics) [12].However, this requires one to work in special (fictitious) Lorentz frames in which the system is boosted to infinite momentum [15]. In addition to the lack of frame independence, there are subtle issues in taking the limit which sometimes lead to incorrect results [16].

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Light front quantization—A technique for relativistic and realistic nuclear physics

Cited by 46 publications

References 94 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Nucleon-nucleon correlations, short-lived excitations, and the quarks within

Aspects of QCD current algebra on a null plane

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