Phys. Rev. Lett. 96, 222001 (2006) - Solving Pure Yang-Mills Theory in $2+1$ Dimensions

Solving Pure Yang-Mills Theory in $2 + 1$ Dimensions

Robert G. Leigh, Djordje Minic, and Alexandr Yelnikov

Phys. Rev. Lett. 96, 222001 – Published 5 June 2006

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 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.

Received 14 December 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.222001

©2006 American Physical Society

Authors & Affiliations

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

^*Electronic address: rgleigh@uiuc.edu
^†Electronic address: dminic@vt.edu
^‡Electronic address: yelnykov@vt.edu

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Issue

Vol. 96, Iss. 22 — 9 June 2006

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