Skip to main content

Cutoff Dependence in Lattice ø 44 Theory

  • Chapter
Recent Developments in Gauge Theories

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 59))

Abstract

This seminar is logically the continuation of the one [1] I gave here three years ago. The stimulus to the present work came from recent results [2] on lattice ø 44 theory, obtained by high-temperature expansions, which seem to require to study the S−2 corrections S−9 = α = lattice constant) to the formulae of [1] which dealt in detail only with In S terms. We shall see that the numerical ø 44 results offer a test of the merely technical (!) idea of “asymptotic freedom”. This is the link between the present topic and nonabelian gauge theory.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Symanzik, in: “New Developments in Quantum Field Theory and Statistical Mechanics”, Eds. M. Lévy, P. Mitter; New York: Plenum Press 1977, p. 265.

    Google Scholar 

  2. G.A. Baker, J.M. Kincaid, Phys. Rev. Letts. 42, 1431 (1979), and to be published

    Article  ADS  Google Scholar 

  3. G. ’t Hooft, M. Veltman, Nucl. Phys. B44, 189 (1972).

    Article  ADS  Google Scholar 

  4. J.M. Drouffe, G. Parisi, N. Sourlas,Nucl.Phys. B161, 397 (1979)

    Article  ADS  Google Scholar 

  5. G. ’t Hooft, Nucl. Phys. B61, 455 (1973).

    Article  ADS  Google Scholar 

  6. E. Brézin, J.C. Le Gouillou, J. Zinn-Justin, in: “Phase Transitions and Critical Phenomena”, eds. C. Domb, M.S. Green, Vol. VI. London: Academic Press 1976

    Google Scholar 

  7. K. Symanzik, Comm. Math. Phys. 45, 79 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  8. J.C. Collins, Nucl. Phys. B80, 341 (1974).

    Article  ADS  Google Scholar 

  9. K. Hepp, “Théorie de la rénormalisation, Berlin: Springer 1969 W. Zimmermann, Comm. Math. Phys. 15, 208 (1969)

    Google Scholar 

  10. W. Zimmermann, Ann. Phys. (N.Y.) 77, 536, 570 (1973).

    Article  ADS  Google Scholar 

  11. C.K. Lee, Nucl. Phys. B161, 171 1979 )

    Article  ADS  Google Scholar 

  12. Y. Kazama, Y.-P. Yao, UM HE 79–16

    Google Scholar 

  13. Y. Taguchi, A. Tanaka, K. Yamamoto, Nucl. Phys. B132, 333 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  14. K.G. Wilson, J. Kogut, Phys. Reps. 12C, 75 (1974) Sect. 13

    Article  ADS  Google Scholar 

  15. D. Politzer, Phys. Reps. 14C, 129 (T§74).

    Google Scholar 

  16. H.S. Sharatchandra, Phys. Rev. D18, 2042 (1978).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Plenum Press, New York

About this chapter

Cite this chapter

Symanzik, K. (1980). Cutoff Dependence in Lattice ø 44 Theory. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-7571-5_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7573-9

  • Online ISBN: 978-1-4684-7571-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics