Lattice QCD-2+1

Abstract

We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite this non-locality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds to all orders. Heavy quarks are confined, the spectrum is gapped, and the space-like Wilson loop has area decay.

Still Latex, 18 pages, no figures, with some further typographical errors corrected. Version to appear in Phys. Rev. D

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Cited by in corpus (19)

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• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory
• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Summing Planar Diagrams by an Integrable Bootstrap II
• Summing Planar Diagrams by an Integrable Bootstrap
• Correlation Functions of the SU(infinity) Principal Chiral Model
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Dynamical Mass Reduction in the Massive Yang-Mills Spectrum in 1+1 dimensions
• (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
• On scale symmetry breaking and confinement in D=3 models
• Longitudinal Rescaling and High-Energy Effective Actions
• The Metric of Yang-Mills Orbit Space on the Lattice
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Confinement for all couplings in a ${\mathbb{Z}}_2$ lattice gauge theory
• Fluctuations Destroying Long-Range Order in SU(2) Yang-Mills Theory
• Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: Abelian limit, spectrum and robustness