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Glueball And Meson Dispersion Relations In Compactu (1)2+1lattice Gauge Theory

Author

Listed:
  • 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)

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.

Suggested Citation

  • A. M. Chaara & H. Kroger & K. J. M. Moriarty & J. Potvin, 1993. "Glueball And Meson Dispersion Relations In Compactu (1)2+1lattice Gauge Theory," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 4(05), pages 919-945.
    • Handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:05:n:s0129183193000719
    DOI: 10.1142/S0129183193000719
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