Yang–Mills theory in 2+1 dimensions: Coupling of matter fields and string-breaking effects

2007/05/31 by Abhishek Agarwal, Dimitra Karabali, V. P. Nair · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.09.007

published as Nucl.Phys.B790:216-239,2008 · 31 pages, 1 figure, minor comments, references added, final version to appear in Nucl.Phys.B

openalex publication_date 2007/09/20 · arxiv created 2007/10/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• The 3D Yang-Mills system. Lecture notes on the Karabali-Nair theory
• QCD and instantons at finite temperature

Cited by

• Composite strings in (2+1)-dimensional anisotropic weakly coupled Yang-Mills theory
• Dimensional reduction and the Yang-Mills vacuum state in2+1dimensions