On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions

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 non-trivial expression for the (quasi)Gaussian part of the ground state wave-functional. We show that this wave-functional can be derived by solving the Schrodinger 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.

43 pages, 3 figures, LaTeX; version to appear in Physical Review D

References in corpus (6)

• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• A Note On The Chern-Simons And Kodama Wavefunctions
• Hot QCD, k-strings and the adjoint monopole gas model
• Towards a solution of pure Yang-Mills theory in 3+1 dimensions
• Towards the QCD String: 2+1 dimensional Yang-Mills theory in the planar limit
• The Large N Glueball Mass Spectrum in 2+1 Dimensions

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• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• On pure Yang-Mills theory in 3+1 dimensions: Hamiltonian, vacuum and gauge invariant variables
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• Notes on the Hamiltonian formulation of 3D Yang-Mills theory