Glueballs from 1+1 Dimensional Gauge Theories with Transverse Degrees of Freedom

Abstract

We study $1+1$-dimensional $SU(N)$ gauge theories with adjoint scalar matter representations, based on a dimensional truncation of $2+1$ and $3+1$-dimensional pure QCD, which approximate the dynamics of transversely polarized gluons. The glueballs are investigated non-perturbatively using light-front quantisation, detailed spectra and wavefunctions being obtained for the large-$N$ limit. In general there is some qualitative agreement of the spectra with lattice Monte Carlo data from the higher dimensional QCD. From the light-front wavefunctions we calculate (polarized) structure functions and interpret the gluon and spin content of glueballs. We discuss the phase structure of the reduced theories in relation to matrix models for relativistic non-critical strings.

To appear in Nucl. Phys. B; some small clarifications and 3 references added

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Cited by in corpus (22)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• SU(N) gauge theories in 2+1 dimensions
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Transverse lattice calculation of the pion light-cone wavefunctions
• SU(N) gauge theories for all N in 3 and 4 dimensions
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Transverse Lattice Approach to Light-Front Hamiltonian QCD
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• A Lie Algebra for Closed Strings, Spin Chains and Gauge Theories
• Colour-Dielectric Gauge Theory on a Transverse Lattice
• Adjoint QCD2 and the Non-Abelian Schwinger Mechanism
• Glueballs on a transverse lattice
• Symmetries of Large N Matrix Models for Closed Strings
• The Light-Cone Fock Representation in QCD
• SU(N) gauge theories for all N
• Transverse Lattice QCD in 2+1 Dimensions
• A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N Limit
• Mesons a in Collinear QCD Model
• Spontaneously broken quark helicity symmetry
• Integrability of Supersymmetric Quantum Matrix Models in the Large-N Limit
• Hard diffraction and the nature of the Pomeron
• Light-cone QCD on the lattice