Yang-Mills theory in (2+1) dimensions: a short review

Abstract

The analysis of (2+1)-dimensional Yang-Mills ($Y{M}_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $Y{M}_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed.

14 pages, Talk at Lightcone Workshop, Trento, 2001, to appear in Nucl.Phys.(Proc.)

References in corpus (1)

• Non-perturbative singularity structure of gluon and quark propagators

Cited by in corpus (11)

• Lattice QCD at non-zero temperature
• SU(N) gauge theories in 2+1 dimensions -- further results
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• Spectrum of Yang-Mills theory in 3 and 4 dimensions
• The Finite Temperature SU(2) Savvidy Model with a Non-trivial Polyakov Loop
• Confinement in a three-dimensional Yang-Mills theory
• The Hamiltonian Analysis for Yang-Mills Theory on $R\times S^2$
• The momentum analyticity of two-point correlators from perturbation theory and AdS/CFT
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Confinement and Pseudoscalar Glueball Spectrum in the $2+1$D QCD-Like Theory from the Non-Susy D$2$ Brane