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Phys. Rev. Lett. 96, 222001 (2006) [4 pages]

Solving Pure Yang-Mills Theory in 2+1 Dimensions

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Robert G. Leigh*
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA

Djordje Minic and Alexandr Yelnikov
Institute for Particle Physics and Astrophysics, Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA

Received 14 December 2005; published 5 June 2006

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 nontrivial 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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.222001
DOI:
10.1103/PhysRevLett.96.222001
PACS:
12.38.Lg, 11.15.Pg, 11.15.Tk

*Electronic address: rgleigh@uiuc.edu

Electronic address: dminic@vt.edu

Electronic address: yelnykov@vt.edu