Skip to main content

Quantum Chromodynamics on a Lattice

  • Conference paper
Recent Topics in Theoretical Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 24))

  • 81 Accesses

Abstract

Current understanding of the dynamics of strong interactions based on quantum chromodynamics is reviewed with emphasis on the lattice approach. Recent results of numerical simulations on the hadron mass spectrum and the finite temperature behavior of QCD are discussed.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Yukawa, Proc. Phys.-Math. Soc.(Japan), 17, 48 (1935).

    MATH  Google Scholar 

  2. C.M.C. Lattes et al., Nature 159, 694 (1947).

    Article  ADS  Google Scholar 

  3. Review of Particle Properties, Phys. Lett. 170B, 1 (1986).

    Google Scholar 

  4. M. Gell-Mann, Phys. Lett. 8, 214 (1964);

    Article  ADS  Google Scholar 

  5. G. Zweig, CERN preprint 8182/TH 401 (1964).

    Google Scholar 

  6. C.N. Yang and R.L. Mills, Phys. Rev. 96, 1605 (1954);

    Article  MathSciNet  Google Scholar 

  7. R. Utiyama, Phys. Rev. 101, 1597 (1956).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. W. Bardeen, H. Fritsch and M. Gell-Mann, in Scale and Conformal Invariance in Hadron Physics, ed. R. Gatto ( Wiley, New York, 1973 ), p. 139.

    Google Scholar 

  9. D.J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973)

    Article  ADS  Google Scholar 

  10. H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973).

    Article  ADS  Google Scholar 

  11. K.G. Wilson, Phys. Rev. D10, 2445 (1974); A.M. Polyakov, unpublished.

    Google Scholar 

  12. M. Creutz, L. Jacobs and C. Rebbi, Phys. Rev. Lett. 42, 1390 (1979).

    Article  ADS  Google Scholar 

  13. M. Creutz, Phys. Rev. D21, 2308 (1980)

    ADS  MathSciNet  Google Scholar 

  14. Phys. Rev. Lett. 45, 313 (1980).

    Article  Google Scholar 

  15. K.G. Wilson, in Recent Developments in Gauge Theories, eds. G. t’Hooft et al., Cargese 1979 ( Plenum, New York, 1980 ), p. 363.

    Google Scholar 

  16. H.B. Nielsen and M. Ninomiya, Nucl. Phys. B185, 20 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  17. K.G. Wilson, in New Phenomena in Subnuclear Physics, ed. A. Zichichi ( Plenum, New York, 1979, p. 69 )

    Google Scholar 

  18. L. Susskind, Phys. Rev. D16, 3031 (1977).

    ADS  Google Scholar 

  19. A.M. Polyakov, Phys. Lett. 72B, 477 (1978);

    ADS  MathSciNet  Google Scholar 

  20. L. Susskind, Phys. Rev. D20, 2610 (1979).

    ADS  Google Scholar 

  21. N. Metropolis et al., J. Chem. Phys. 21, 1087 (1953).

    Article  ADS  Google Scholar 

  22. F. Fucito et al., Nucl. Phys. B180 [FS2]; 369 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  23. J. Polonyi and H.W. Wyld, Phys. Rev. Lett. 51, 2257 (1983).

    Article  ADS  Google Scholar 

  24. A. Ukawa and M. Fukugita, Phys. Rev. Lett. 55, 1854 (1985)

    Article  ADS  Google Scholar 

  25. G.G. Batrouni et al., Phys. Rev. D32, 2736 (1985).

    ADS  Google Scholar 

  26. S. Duane, Nucl. Phys. B257 [FS14], 652 (1985);

    Article  ADS  Google Scholar 

  27. S. Duane and J.B. Kogut, Nucl. Phys. B275 [FS17], 398 (1986).

    Article  ADS  Google Scholar 

  28. G. Parisi and Y.-S. Wu, Sci. Sin. 24, 483 (1981).

    MathSciNet  Google Scholar 

  29. H. Hamber and G. Parisi, Phys. Rev Lett. 47, 1792 (1981).

    Article  ADS  Google Scholar 

  30. D. Weingarten, Phys. Lett. 109B, 57 (1982)

    ADS  MathSciNet  Google Scholar 

  31. A. Hasenfratz et al., Phys. Lett. 110B, 289 (1982).

    ADS  Google Scholar 

  32. S. Ito, Y. Iwasaki and T. Yoshie, Phys. Lett. 183B, 351 (1987)

    ADS  Google Scholar 

  33. See also D. Barkai et al., Phys. Lett. 156B, 385 (1986).

    ADS  Google Scholar 

  34. M. Fukugita, Y. Oyanagi and A. Ukawa, Phys. Rev. Lett. 57, 953 (1986).

    Article  ADS  Google Scholar 

  35. F. Fucito et al., Phys. Lett. 172B, 235 (1986).

    ADS  Google Scholar 

  36. R. Hagedorn, Nuovo Cim. Suppl. 3, 147 (1965);

    Google Scholar 

  37. N. Cabbibo and G. Parisi, Phys. Lett. 59B, 67 (1975).

    ADS  Google Scholar 

  38. D.J. Gross et al., Rev. Mod. Phys. 53, 43 (1981) and references cited therein.

    Google Scholar 

  39. B. Svetitsky and L. Yaffe, Nucl. Phys. 8210 [FS6], 423 (1982).

    Article  ADS  Google Scholar 

  40. K. Kajantie et al., Z. Phys. C9, 253 (1981)

    ADS  Google Scholar 

  41. S.A. Gottlieb et al., Phys. Rev. Lett. 55, 1958 (1985)

    Article  ADS  Google Scholar 

  42. N. Christ et al., Phys. Rev. Lett. 56, 111 (1986).

    Article  ADS  Google Scholar 

  43. T. Banks and A. Ukawa, Nucl. Phys. B225 [FS9], 145 (1983);

    Article  ADS  Google Scholar 

  44. T. De Grand and C. De Tar, Nucl. Phys. B225 [FS9], 590 (1983).

    ADS  Google Scholar 

  45. P. Hasenfratz et al., Phys. Lett. 133B, 221 (1983);

    ADS  Google Scholar 

  46. T. Celik et al., Phys. Lett. 133B, 427 (1983).

    ADS  Google Scholar 

  47. M. Fukugita and A. Ukawa, Phys. Rev. Lett., 57, 503 (1986).

    Article  ADS  Google Scholar 

  48. J. Polonyi et al., Phys. Rev. Lett. 53, 644 (1984)

    Article  ADS  Google Scholar 

  49. R.V. Gavai, Nucl. Phys. B269, 530 (1986)

    Article  ADS  Google Scholar 

  50. J.B. Kogut and D.K. Sinclair, Nucl. Phys. B280 [FS18], 625 (1987).

    Article  ADS  Google Scholar 

  51. F. Fucito and S. Solomon, Phys. Rev. Lett. 55, 2541 (1985) and references cited therein. See also

    Google Scholar 

  52. R.V. Gavai and F. Karsch, Nucl. Phys. B261, 273 (1985).

    Article  ADS  Google Scholar 

  53. R. Gupta et al., Phys. Rev. Lett. 57, 2621 (1986)

    Article  ADS  Google Scholar 

  54. J.B. Kogut et al., Phys. Rev. Lett. 58, 751 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  55. R. Pisarski and F Wilczek, Phys. Rev. D29, 338 (1984).

    ADS  Google Scholar 

  56. K. Symanzik, J. Math. Phys. 7, 510 (1966);

    Article  ADS  MathSciNet  Google Scholar 

  57. K.G. Wilson and J.B. Kogut, Phys. Rep. C12, 75 (1974).

    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

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ukawa, A. (1988). Quantum Chromodynamics on a Lattice. In: Takayama, H. (eds) Recent Topics in Theoretical Physics. Springer Proceedings in Physics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73211-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73211-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73213-3

  • Online ISBN: 978-3-642-73211-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics