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 (33)

• SU(N) gauge theories in 2+1 dimensions
• Fivebranes from gauge theory
• On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions
• Effective Theory of Wilson Lines and Deconfinement
• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• SU(N) gauge theories in 2+1 dimensions -- further results
• A variational approach to the QCD wave functional:Dynamical mass generation and confinement
• Observing string breaking with Wilson loops
• On the origin of the mass gap for non-Abelian gauge theories in (2+1) dimensions
• Remarks on Stable and Quasi-stable k-Strings at Large N
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• String Breaking in SU(2) Yang Mills Theory with Adjoint Sources
• Breaking of the adjoint string in 2+1 dimensions
• On k-String Tensions and Domain Walls in N=1 Gluodynamics
• Solving Pure Yang Mills in 2+1 Dimensions
• On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions
• One-loop Conformal Anomalies From AdS/CFT in the Schrodinger Representation
• Gauge invariance and mass gap in (2+1)-dimensional Yang-Mills theory
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
• The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant Variables
• String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory
• Lattice QCD-2+1
• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Yang--Mills Configurations from 3D Riemann--Cartan Geometry
• Gauge-Invariant Coordinates on Gauge-Theory Orbit Space
• Extremal Curves in 2+1-Dimensional Yang-Mills Theory
• Quark Confinement and Dual Representation in 2+1 Dimensional Pure Yang-Mills Theory
• Yang-Mills theory in (2+1) dimensions: a short review
• Spatial Geometry of Non-Abelian Gauge Theory in \(2 + 1\) Dimensions
• Solving the Functional Schroedinger Equation: Yang-Mills String Tension and Surface Critical Scaling
• Three Dimensional Simplicial Yang-Mills Theory: An Approach to the Mass Gap
• The 3D Yang-Mills system. Lecture notes on the Karabali-Nair theory

Cited by in corpus (20)

• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• 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
• Casimir Effect in (2+1)-dimensional Yang-Mills Theory as a Probe of the Magnetic Mass
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• The Hamiltonian Analysis for Yang-Mills Theory on $R\times S^2$
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Flux tubes and string breaking in three dimensional SU(2) Yang-Mills theory
• The Quantum Effective Action, Wave Functions and Yang-Mills (2+1)
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• On the deconfining limit in (2+1)-dimensional Yang-Mills theory
• On scale symmetry breaking and confinement in D=3 models
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality
• Large N and Bosonization in Three Dimensions
• The regularization and determination of the Yang-Mills vacuum wave functional in three dimensions at O(e^2)
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• The Yang-Mills vacuum wave functional thirty-five years later
• The Yang-Mills Vacuum Wave Functional in 2+1 Dimensions
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory
• Holomorphicity, Vortex Attachment, Gauge Invariance and the Fractional Quantum Hall Effect