Solving Pure Yang Mills in 2+1 Dimensions

Abstract

We analytically compute the spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by our computation of a new non-trivial form of the ground state wave-functional. The mass spectrum of the theory is determined by the zeroes of Bessel functions, and the agreement with large N lattice data is excellent.

arXiv comment4 page letter; version to appear in Physical Review Letters

References in corpus (15)

• Gauge Theory Correlators from Non-Critical String Theory
• Two Dimensional QCD is a String Theory
• SU(N) gauge theories in 2+1 dimensions
• Two Dimensional QCD as a String Theory
• Glueball Mass Spectrum From Supergravity
• On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions
• Evaluation Of Glueball Masses From Supergravity
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions
• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• SU(N) gauge theories in 2+1 dimensions -- further results
• On the origin of the mass gap for non-Abelian gauge theories in (2+1) dimensions
• Glueball Regge Trajectories in (2+1) Dimensional Gauge Theories
• A note on the glueball mass spectrum
• Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory
• Extremal Curves in 2+1-Dimensional Yang-Mills Theory

Cited by in corpus (37)

• SU(N) gauge theories at large N
• Algebraic Quantum Gravity (AQG) IV. Reduced Phase Space Quantisation of Loop Quantum Gravity
• Glueball masses in the large N limit
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Loop Equations and bootstrap methods in the lattice
• Emerging Holography
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• Time and M-theory
• Color dependence of tensor and scalar glueball masses in Yang-Mills theories
• On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• 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
• Spectrum of Yang-Mills theory in 3 and 4 dimensions
• Ghost propagator and the Coulomb form factor from the lattice
• Confinement in a three-dimensional Yang-Mills theory
• Formulating Light Cone QCD on the Lattice
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Selfduality and Chern-Simons 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
• Veneziano amplitudes, spin chains and Abelian reduction of QCD
• On pure Yang-Mills theory in 3+1 dimensions: Hamiltonian, vacuum and gauge invariant variables
• On the spectrum of pure Yang-Mills theory
• On The Spectrum of Yang-Mills Theory in 2+1 Dimensions, Analytically
• Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Yang-Mills Ground State in 2+1 Dimensions and Temporal Gauge
• Energy States of Colored Particle in a Chromomagnetic Field
• Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: Abelian limit, spectrum and robustness
• The Yang-Mills vacuum wave functional thirty-five years later
• Hamiltonian YM 2+1: note on point splitting regularization
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory