Numerical Challenges in Lattice Quantum Chromodynamics

Joint Interdisciplinary Workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999

  • Andreas Frommer
  • Thomas Lippert
  • Björn Medeke
  • Klaus Schilling

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 15)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Overlap Fermions and Matrix Functions

    1. Herbert Neuberger
      Pages 1-17
    2. Pilar Hernández, Karl Jansen, Laurent Lellouche
      Pages 29-39
  3. Light Quarks, Lanczos and Multigrid Techniques

  4. Flavor Singlet Operations and Matrix Functionals

  5. Novel Numerical Techniques for Full QCD

  6. Back Matter
    Pages 177-188

About these proceedings


Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of strong interactions. Ever since its adolescence the simulation of quantum chromodynamics has attracted the interest of numerical analysts and there is growing interdisciplinary engage­ ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach. This volume contains contributions of the interdisciplinary workshop "Nu­ merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999. The purpose of the workshop was to offer a platform for the exchange of key ideas between lattice QCD and numerical analysis communities. In this spirit leading experts from both fields have put emphasis to transcend the barriers between the disciplines. The meetings was focused on the following numerical bottleneck problems: A standard topic from the infancy of lattice QCD is the computation of Green's functions, the inverse of the Dirac operator. One has to solve huge sparse linear systems in the limit of small quark masses, corresponding to high condition numbers of the Dirac matrix. Closely related is the determination of flavor-singlet observables which came into focus during the last years.


Gauge theory Lattice gauge theory algebra algorithms matrix functionals matrix functions numerical analysis quantum chromodynamics

Editors and affiliations

  • Andreas Frommer
    • 1
  • Thomas Lippert
    • 2
  • Björn Medeke
    • 1
  • Klaus Schilling
    • 3
  1. 1.Department of MathematicsUniversity of WuppertalWuppertalGermany
  2. 2.Department of PhysicsUniversity of WuppertalWuppertalGermany
  3. 3.John von Neumann Institute for ComputingFZ-JülichJülichGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67732-1
  • Online ISBN 978-3-642-58333-9
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site