IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v04y1993i05ns0129183193000719.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183193000719
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183193000719?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Keywords

    ; 11.15Ha;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:05:n:s0129183193000719. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.