Light-cone-quantized QCD in 1+1 dimensions

Hornbostel, K.; Brodsky, Stanley J.; Pauli, Hans–Christian

doi:10.1103/physrevd.41.3814

Cited by 211 publications

(225 citation statements)

References 19 publications

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“…They have used the lightcone quantization and compactified the spatial dimension to give discrete momenta. In this discretized light-cone quantization approach, one can diagonalize the mass matrix for finite number of light-cone momenta and can hope to obtain the infinite volume limit eventually [8], [9]. The Yang-Mills gauge theory with only the adjoint matter fermion is used to propose a kind of supersymmery which is valid only at a particular value of a parameter and is different from the usual linearly realized supersymmetry [10].…”

Section: Introductionmentioning

confidence: 99%

Mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions

1995

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Physical mass spectra of supersymmetric Yang-Mills theories in 1 + 1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed and the infrared regularization is unambiguously prescribed for supercharges, instead of the light-cone Hamiltonian. This provides a manifestly supersymmetric infrared regularization for the discretized light-cone approach. By an exact diagonalization of the supercharge matrix between up to several hundred color singlet bound states, we find a rapidly increasing density of states as mass increases.

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Section: Introductionmentioning

confidence: 99%

Mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions

1995

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“…It would be interesting to compare the Fock state distribution of Eq. (16) with that of solvable field theory models, such as QCD 1+1 [10] and dimensionally reduced QCD [11].…”

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confidence: 99%

The intrinsic gluon component of the nucleon

Hoyer

Roy²

1997

Physics Letters B

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Using an intrinsic parton model we estimate the rough shape and size of the intrinsic gluon component of the nucleon, corresponding to an energy scale Q of the order Λ QCD . It is nearly as hard in shape as the valence quark, while its size accounts for a quarter of the nucleon momentum. Both are in qualitative agreement with the input leading twist gluon distribution assumed by Glück, Reya and Vogt at this scale in order to reproduce the observed distributions at Q 2 > ∼ 1 GeV 2 via perturbative QCD evolution.

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“…For example, the complete set of discrete and continuum eigensolutions of mesons and baryons in QCD(1+1) can be obtained to any desired precision for general color, multiple flavors, and general quark masses using the discretized light-cone quantized (DLCQ) method. [30,31] The DLCQ approach can in principle be applied to QED(3+1) and QCD(3+1); however, in practice, the huge matrix diagonalization problem is computational challenging.…”

Section: Light-front Quantizationmentioning

confidence: 99%

Atoms in flight and the remarkable connections between atomic and hadronic physics

Brodsky

2012

Hyperfine Interact

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Atomic physics and hadron physics are both based on Yang Mills gauge theory; in fact, quantum electrodynamics can be regarded as the zero-color limit of quantum chromodynamics. I review a number of areas where the techniques of atomic physics provide important insight into the theory of hadrons in QCD. For example, the Dirac-Coulomb equation, which predicts the spectroscopy and structure of hydrogenic atoms, has an analog in hadron physics in the form of light-front relativistic equations of motion which give a remarkable first approximation to the spectroscopy, dynamics, and structure of light hadrons. The renormalization scale for the running coupling, which is unambiguously set in QED, leads to a method for setting the renormalization scale in QCD. The production of atoms in flight provides a method for computing the formation of hadrons at the amplitude level. Conversely, many techniques which have been developed for hadron physics, such as scaling laws, evolution equations, and light-front quantization have equal utility for atomic physics, especially in the relativistic domain. I also present a new perspective for understanding the contributions to the cosmological constant from QED and QCD.

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Light-cone-quantized QCD in 1+1 dimensions

Cited by 211 publications

References 19 publications

Mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions

Mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions

The intrinsic gluon component of the nucleon

Atoms in flight and the remarkable connections between atomic and hadronic physics

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