Glueball spectrum of pure Yang-Mills theory in2+1dimensions

2006/04/30 by Robert G. Leigh, Djordje Minić, Djordje Minic +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.76.065018

published as Phys.Rev.D76:065018,2007 · 43 pages, 3 figures, LaTeX; version to appear in Physical Review D

arxiv created 2007/08/03 · openalex publication_date 2007/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new nontrivial expression for the (quasi)Gaussian part of the ground state wave functional. We show that this wave functional can be derived by solving the Schr"odinger equation under certain assumptions. The mass spectrum of the theory is determined by the zeros of Bessel functions, and the agreement with available lattice data is excellent.

Citations

• Quantization of non-Abelian gauge theories
• The Large N Glueball Mass Spectrum in 2+1 Dimensions
• Hot QCD, k-strings and the adjoint monopole gas model
• Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theoreiesin (2+1) dimensions
• 't Hooft and Wilson loop ratios in the QCD plasma
• Some remarks on the Gribov ambiguity
• Schrödinger representation and Casimir effect in renormalizable quantum field theory
• Two-dimensional QCD as a string theory

Cited by

• The Hamiltonian approach to Yang–Mills (2+1): Expansion scheme and corrections to string tension