Skip to main content

A Numerical Treatment of Neuberger’s Lattice Dirac Operator

  • Conference paper

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

Abstract

We describe in some detail our numerical treatment of Neuberger’s lattice Dirac operator as implemented in a practical application. We discuss the improvements we have found to accelerate the numerical computations and give an estimate of the expense when using this operator in practice.

Heisenberg foundation fellow.

On leave from: Centre de Physique Théorique, Case 907, CNRS Luminy, F-13288 Marseille Cedex 9, France.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K.G. Wilson, Phys. Rev. D10 (1974) 2445.

    Google Scholar 

  2. P. Hasenfratz, V. Laliena and F. Niedermayer, Phys.Lett.B427 (1998) 125.

    Google Scholar 

  3. M. Löscher, Phys. Lett. B428 (1998) 342.

    Google Scholar 

  4. P. Hasenfratz, Nucl. Phys. B525 (1998) 401.

    Article  Google Scholar 

  5. H. Neuberger, Phys. Lett. B417 (1998) 141 and B427 (1998) 353.

    Google Scholar 

  6. S. Chandrasekharan, Phys. Rev. D60 (1999) 074503.

    Google Scholar 

  7. P. Hasenfratz, Nucl. Phys. B (Proc.Suppl.) 63A-C (1998) 53.

    Article  Google Scholar 

  8. P.H. Ginsparg and K.G. Wilson, Phys. Rev. D25 (1982) 2649.

    Google Scholar 

  9. F. Niedermayer, Nucl. Phys. B (Proc.Suppl.) 73 (1999) 105.

    Article  MATH  Google Scholar 

  10. T. Blum, Nucl.Phys.B (Proc.Suppl.) 73 (1999) 167.

    Article  MATH  Google Scholar 

  11. P. Hernández, K. Jansen and L. Lellouch, CERN preprints CERN-TH/99–197, hep-lat/9907022 and CERN-TH/99–273, hep-lat/9909026.

    Google Scholar 

  12. H. Neuberger, hep-lat/9910040.

    Google Scholar 

  13. A. Borici, hep-lat/9910045.

    Google Scholar 

  14. P. Hernández, K. Jansen and M. Lüscher, Nucl. Phys. B552 (1999) 363.

    Article  Google Scholar 

  15. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes, Second Edition, Cambridge University Press, Cambridge, 1992.

    Google Scholar 

  16. Y. Saad, Iterative methods for sparse linear systems, PWS Publishing Company, Boston, 1996.

    MATH  Google Scholar 

  17. L. Fox and I. B. Parker, Chebyshev polynomials in numerical analysis,Oxford University Press, London, 1968.

    Google Scholar 

  18. R.G. Edwards, U.M. Heller and R. Narayanan, Phys. Rev. D59 (1999) 094510.

    Google Scholar 

  19. B. Bunk, K. Jansen, M. Löscher and H. Simma, DESY report (September 1994); T. Kalkreuter and H. Simma, Comp.Phys.Comm. 93 (1996) 33.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hernández, P., Jansen, K., Lellouche, L. (2000). A Numerical Treatment of Neuberger’s Lattice Dirac Operator. In: Frommer, A., Lippert, T., Medeke, B., Schilling, K. (eds) Numerical Challenges in Lattice Quantum Chromodynamics. Lecture Notes in Computational Science and Engineering, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58333-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-58333-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67732-1

  • Online ISBN: 978-3-642-58333-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics