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

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

2007-05-03

arxiv.org/abs/0705.0394v3

Nucl.Phys.B790:216-239,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2007.09.007

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.

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