GLUEBALL AND MESON DISPERSION RELATIONS IN COMPACTU (1)2+1LATTICE GAUGE THEORY

A. M. Chaara, H. Kroger, K. J. M. Moriarty and J. Potvin
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A. M. Chaara: Département de Physique, Université Laval, Québec, Québec G1K 7P4, Canada
H. Kroger: Département de Physique, Université Laval, Québec, Québec G1K 7P4, Canada
K. J. M. Moriarty: Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada
J. Potvin: Department of Science and Mathematics, Parks College of St. Louis University, Cahokia, Illinois 62206, USA

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 05, 919-945

Abstract: We have studied compactU (1)gauge theory in2 + 1dimensions in the framework of Hamiltonian lattice gauge theory, using a momentum[k]lattice. We consider glueball-like states and meson-like states. For the glueball states we compare the mass and the dispersion relation with results from a space-time lattice Hamiltonian method obtained by Irvinget al.and with strong coupling perturbation theory results obtained by Hakimet al.and find good agreement. We introduce a compact momentum operatorPon the lattice analogous to the compact Hamiltonian. The lattice HamiltonianHand the lattice momentumPdo not commute for finite lattice cutoff[a ≠ 0], which indicates violation of the Poincaré algebra. However, they commute fora → 0. We compute

for glueball and meson eigenstates. We obtain the dispersion relationEversus

and extract the mass, which agrees well with the mass obtained fromEversusk.

Keywords: 11.15Ha (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000719

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