A (1+1)-Dimensional Reduced Model of Mesons

Abstract

We propose an extension of 't Hooft's large-$N_c$ light-front QCD in two dimensions to include helicity and physical gluon degrees of freedom, modelled on a classical dimensional reduction of four dimensional QCD. A non-perturbative renormalisation of the infinite set of coupled integral equations describing boundstates is performed. These equations are then solved, both analytically in a phase space wavefunction approximation and numerically by discretising momenta, for (hybrid) meson masses and (polarized) parton structure functions.

LaTex 13 pages; 2 figures, uuencoded file (PostScript)

References in corpus (4)

• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• Glueball spectrum in a (1+1)-dimensional model for QCD
• Towards Solving QCD - The Transverse Zero Modes in Light-Cone Quantization
• Light-Cone Quantization of the c=2 Matrix Model

Cited by in corpus (21)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Transverse lattice calculation of the pion light-cone wavefunctions
• The Relativistic Bound State Problem in QCD: Transverse Lattice Methods
• Light-Cone Wavefunctions at Small $x$
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Dynamical vertex mass generation and chiral symmetry breaking on the light-front
• Mesons on a transverse lattice
• Transverse Lattice Approach to Light-Front Hamiltonian QCD
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• Wilson Fermions on a Transverse Lattice
• Finiteness Conditions for Light-Front Hamiltonians
• Calculations with DLCQ
• Glueballs on a transverse lattice
• The Intrinsic Gluon Component of the Nucleon
• The Light-Cone Fock Representation in QCD
• Symmetry Algebras of Large-N Matrix Models for Open Strings
• A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N Limit
• Mesons a in Collinear QCD Model
• Extended QCD(2) from dimensional projection of QCD(4)
• Spontaneously broken quark helicity symmetry