Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Renormalization-prescription ambiguity in perturbative quantum chromodynamics: Has Stevenson found the solution?

M. R. Pennington

  • Department of Physics, University of Durham, Durham, England

Phys. Rev. D 26, 2048 – Published 15 October, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.2048

Abstract

Stevenson has claimed to resolve the renormalization-prescription ambiguity inherent in a truncated perturbative expansion by a principle of minimal sensitivity. This is shown to define an αs such that its coefficients in the perturbative expansion are in the ratio of the corresponding coefficients of the β function, regardless of the physical quantity calculated. Stevenson's principle is then only relevant when the expansion of the β function for the optimal αs makes sense and is then negligibly different from the commonly assumed criterion of fastest apparent convergence, with no greater claim to "optimality."

References (40)

  1. E. C. Stueckelberg and A. Peterman, Helv. Phys. Acta 26, 449 (1953)
  2. M. Gell-Mann and F. Low, Phys. Rev. 95, 1300 (1954)
  3. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Interscience, New York, 1959) K. Wilson, Phys. Rev. D 3, 1818 (1971)
  4. C. Callan, Phys. Rev. D 2, 1541 (1970) K. Symanzik, Commun. Math. Phys. 18, 227 (1970) H. D. Politzer, Phys. Rep. 14C, 129 (1974)
  5. M. Bacé, Phys. Lett. 78B, 132 (1978) S. Wolfram, Caltech Report No. 68-690, 1978 (unpublished) A. N. Schellekens, Lett. Nuovo Cimento 24, 513 (1979) G. Grunberg, Phys. Lett. 95B, 70 (1980)
  6. W. Celmaster and R. J. Gonsalves, Phys. Rev. Lett. 42, 1435 (1979) Phys. Rev. D 20, 1420 (1979)
  7. A. Peterman, Phys. Rep. 53, 157 (1979) A. Buras, Rev. Mod. Phys. 52, 199 (1980) Phys. Scripta 23, 863 (1981) C. H. Llewellyn-Smith, in High Energy Physics—1980, proceedings of the International Conference, Madison, Wisconsin, edited by L. Durand and L. G. Pondrom (AIP, New York, 1981)
  8. W. Celmaster and D. Sivers, Phys. Rev. D 23, 227 (1981)
  9. J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons, Second edition (Springer, New York, 1976), pp. 245-247
  10. R. Coquereaux, Ann. Phys. (N.Y.) 125, 401 (1980)
  11. Omitted endnote

  12. M. Dine and J. Sapirstein, Phys. Rev. Lett. 43, 668 (1979) K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, Phys. Lett. 85B, 277 (1979) W. Celmaster and R. J. Gonsalves, Phys. Rev. Lett. 44, 560 (1980) Phys. Rev. D 21, 3112 (1980)
  13. G. 't Hooft, Nucl. Phys. B61, 455 (1973)
  14. M. R. Pennington and G. G. Ross, Phys. Lett. 102B, 167 (1981)
  15. W. A. Bardeen, A. J. Buras, D. W. Duke, and T. Muta, Phys. Rev. D 18, 3998 (1978)
  16. P. M. Stevenson, Phys. Lett. 100B, 61 (1981) Phys. Rev. D 23, 2916 (1981)
  17. ([18])
  18. D. R. T. Jones, Nucl. Phys. B75, 531 (1974) W. E. Caswell, Phys. Rev. Lett. 33, 244 (1974)
  19. D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973) H. D. Politzer, 30, 1346 (1973)
  20. O. V. Tarasov, A. A. Vladimirov, and A. Y. Zharkov, Phys. Lett. 93B, 429 (1980)
  21. H. D. Politzer, Nucl. Phys. B146, 283 (1978) M. R. Pennington and G. G. Ross, Phys. Lett. 86B, 371 (1979) Nucl. Phys. B179, 324 (1981)
  22. Omitted endnote

  23. A. J. Buras, E. G. Floratos, D. A. Ross, and C. T. Sachrajda, Nucl. Phys. B131, 308 (1977)
  24. M. Moshe, Phys. Lett. 79B, 88 (1978) L. F. Abbott, Phys. Rev. Lett. 44, 1569 (1980)
  25. W. A. Bardeen and A. J. Buras, Phys. Rev. D 20, 166 (1979)
  26. ([8])
  27. R. Barbieri, E. d'Emilio, G. Curci, and E. Remiddi, Nucl. Phys. B154, 535 (1979)
  28. [14] W. Celmaster and D. Sivers, Report No. ANL-HEP-PR-80-29, 1980 (unpublished) [8]
  29. E. Braaten and J. P. Leveille, Phys. Rev. D 24, 1369 (1981)
  30. I. G. Halliday and P. Suranyi, Phys. Rev. D 21, 1529 (1980) W. E. Caswell, Ann. Phys. (N.Y.) 123, 153 (1979)
  31. Omitted endnote

  32. Omitted endnote

  33. Omitted endnote

  34. [30]
  35. G. 't Hooft, in The Whys of Subnuclear Physics, proceedings of the International School of Subnuclear Physics, Erice, 1977, edited by A. Zichichi (Plenum, New York, 1979), pp. 943-982
  36. N. N. Khuri and O. A. McBryan, Phys. Rev. D 20, 881 (1979)
  37. Omitted endnote

  38. A. I. Sanda, Phys. Rev. Lett. 42, 1658 (1979)
  39. [21]
  40. J. C. Wrigley, Univeristy of Cambridge, Cavendish Laboratory Report No. HEP 81/10, 1981 (unpublished)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation