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

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

2006-04-08

arxiv.org/abs/hep-th/0604060v4

Phys.Rev.D76:065018,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.76.065018

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.

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