Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
High Energy Physics - Theory
2008-11-26 v3
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.
Keywords
Cite
@article{arxiv.0705.0394,
title = {Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects},
author = {Abhishek Agarwal and Dimitra Karabali and V. P. Nair},
journal= {arXiv preprint arXiv:0705.0394},
year = {2008}
}
Comments
31 pages, 1 figure, minor comments, references added, final version to appear in Nucl.Phys.B