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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

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Andreas Frommer

    1. Department of Mathematics, University of Wuppertal, Wuppertal, Germany

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  2. Thomas Lippert

    1. Department of Physics, University of Wuppertal, Wuppertal, Germany

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  3. Björn Medeke

    1. Department of Mathematics, University of Wuppertal, Wuppertal, Germany

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  4. Klaus Schilling

    1. John von Neumann Institute for Computing, FZ-Jülich, Jülich, Germany

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

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Table of contents (13 papers)

  1. Front Matter

    Pages I-VIII
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  2. Overlap Fermions and Matrix Functions

    1. The Overlap Dirac Operator

      • Herbert Neuberger
      Pages 1-17

    2. Solution of f(A)x = b with Projection Methods for the Matrix A

      • Henk A. van der Vorst
      Pages 18-28

    3. A Numerical Treatment of Neuberger’s Lattice Dirac Operator

      • Pilar Hernández, Karl Jansen, Laurent Lellouche
      Pages 29-39

    4. Fast Methods for Computing the Neuberger Operator

      • Artan Boriçi
      Pages 40-47

  3. Light Quarks, Lanczos and Multigrid Techniques

    1. On Lanczos-Type Methods for Wilson Fermions

      • Martin H. Gutknecht
      Pages 48-65

    2. An Algebraic Multilevel Preconditioner for Symmetric Positive Definite and Indefinite Problems

      • Arnold Reusken
      Pages 66-83

    3. On Algebraic Multilevel Preconditioning

      • Yvan Notay
      Pages 84-98

    4. On Algebraic Multilevel Preconditioners in Lattice Gauge Theory

      • Björn Medeke
      Pages 99-114

  4. Flavor Singlet Operations and Matrix Functionals

    1. Stochastic Estimator Techniques for Disconnected Diagrams

      • Stephan Güsken
      Pages 115-126

    2. Noise Methods for Flavor Singlet Quantities

      • Walter Wilcox
      Pages 127-141

  5. Novel Numerical Techniques for Full QCD

    1. A Noisy Monte Carlo Algorithm with Fermion Determinant

      • Keh-Fei Liu
      Pages 142-152

    2. Least-Squares Optimized Polynomials for Fermion Simulations

      • István Montvay
      Pages 153-165

    3. One-Flavour Hybrid Monte Carlo with Wilson Fermions

      • Thomas Lippert
      Pages 166-176

  6. Back Matter

    Pages 177-188
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Wuppertal, Wuppertal, Germany

    Andreas Frommer, Björn Medeke

  • Department of Physics, University of Wuppertal, Wuppertal, Germany

    Thomas Lippert

  • John von Neumann Institute for Computing, FZ-Jülich, Jülich, Germany

    Klaus Schilling

Bibliographic Information

  • Book Title: Numerical Challenges in Lattice Quantum Chromodynamics

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

  • Editors: Andreas Frommer, Thomas Lippert, Björn Medeke, Klaus Schilling

  • Series Title: Lecture Notes in Computational Science and Engineering

  • DOI: https://doi.org/10.1007/978-3-642-58333-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67732-1Published: 27 September 2000

  • eBook ISBN: 978-3-642-58333-9Published: 06 December 2012

  • Series ISSN: 1439-7358

  • Series E-ISSN: 2197-7100

  • Edition Number: 1

  • Number of Pages: VIII, 188

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Numerical Analysis, Theoretical, Mathematical and Computational Physics, Algorithms

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