IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v04y1993i03ns0129183193000586.html
   My bibliography  Save this article

Inversion Of The Fermion Matrix In Lattice Qcd By Means Of Parallel-Transported Multigrid (Ptmg)

Author

Listed:
  • P. G. LAUWERS

    (German National Research Center for Computing Science (GMD), Institute I1.T, P.O. Box 1316, Schloβ Birlinghoven, W-5205 Sankt Augustin, Germany)

  • T. WITTLICH

    (Physikalisches Institut der Universität Bonn, Nuβallee 12, W-5300 Bonn 1, Germany)

Abstract

The standard PTMG method, invented and tested for the inversion of the fermion matrix (Dirac-operator) in the case ofU(1)andSU(2)lattice gauge theories with staggered fermions, has now been generalized toSU(3). A crucial ingredient of the new algorithm is the waySU(3)link elements are averaged in the generation of the coarse grid link elements. Numerical results are presented for the two-dimensional case. For128 × 128lattices and physically relevant values of the coupling constant β and of the quark massmq, the new algorithm is an order of magnitude faster in CPU time than its leading competitor, the Conjugate-Gradient algorithm.

Suggested Citation

  • P. G. Lauwers & T. Wittlich, 1993. "Inversion Of The Fermion Matrix In Lattice Qcd By Means Of Parallel-Transported Multigrid (Ptmg)," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 609-620.
    • Handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:03:n:s0129183193000586
    DOI: 10.1142/S0129183193000586
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183193000586
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183193000586?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.

    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:03:n:s0129183193000586. 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.