Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects

Abstract

We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the screening of adjoint (and other screenable) representations can arise in this formalism. A Schrodinger equation is then derived for the gluelump states which are the daughter states when an adjoint string breaks. A variational solution of this Schrodinger equation leads to an analytic estimate of the string-breaking energy which is within 8.8% of the latest lattice estimates.

31 pages, 1 figure, minor comments, references added, final version to appear in Nucl.Phys.B

References in corpus (1)

• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

Cited by in corpus (5)

• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• On scale symmetry breaking and confinement in D=3 models
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory