Glueball spectrum of pure Yang-Mills theory in 2+1 dimensions

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.065018· OSTI ID:21032286

Leigh, Robert G ^[1]; Minic, Djordje; Yelnikov, Alexandr ^[2]

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1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)
2. Institute for Particle Physics and Astrophysics, Department of Physics, Virginia Tech, Blacksburg, Virginia 24061 (United States)

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 Schroedinger 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.

• OSTI ID: 21032286
• Journal Information: Physical Review. D, Particles Fields, Vol. 76, Issue 6; Other Information: DOI: 10.1103/PhysRevD.76.065018; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BESSEL FUNCTIONS
CALCULATION METHODS
GLUEBALLS
GROUND STATES
LATTICE FIELD THEORY
MASS SPECTRA
SCHROEDINGER EQUATION
SPIN
YANG-MILLS THEORY