Skip to main content
SpringerLink
Log in

A practicableγ 5-scheme in dimensional regularization

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We present a new simpleγ 5 regularization scheme. We discuss its use in the standard radiative correction calculations including the anomaly contributions. The new scheme features an anticommutingγ 5 which leads to great simplifications in practical calculations. We carefully discuss the underlying mathematics of ourγ 5-scheme which is formulated in terms of simple projection operations.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. `t Hooft, M. Veltman: Nucl. Phys. B44 (1972) 189; C.G. Bollini, J.J. Giambiagi: Phys. Lett. B40 (1972) 566: G.M. Cicuta, E. Montaldi: Nuovo Cimento Lett. 4 (1972) 329; J.F. Ashmore: Nuovo Cimento Lett. 4 (1972) 289

    Google Scholar 

  2. D.J. Broadhurst, N. Gray, K. Schilcher: Gauge-invariant onshellZ 2 in QED, QCD and the effective field theory of a static quark, Open Univ. preprint OUT-4102-29

  3. D. Kreimer: Phys. Lett. B237 (1990) 59

    Google Scholar 

  4. D.A. Akyeampong, R. Delbourgo: Nuovo Cimento 17A (1973) 578; 18A (1973) 94; 19A (1974) 219

    Google Scholar 

  5. G. Thompson, H.L. Yu: Phys. Lett. 151B (1985) 119

    Google Scholar 

  6. P. Breitenlohner, D. Maison: Commun. Math. Phys. 52 (1977) 11,39,55

    Google Scholar 

  7. A. Barroso et al.: Phys. Lett. B261 (1991) 123

    Google Scholar 

  8. V. Elias, G. McKeon, R.B. Mann: Nucl. Phys. B229 (1983) 487; B266 (1986) 125

    Google Scholar 

  9. H. Nicolai, P.K. Townsend: Phys. Lett. 93B (1980) 111

    Google Scholar 

  10. J.G. Körner, G. Kramer, B. Lampe, G. Schuler: Phys. Lett. 164B (1985) 136

    Google Scholar 

  11. J.G. Körner, G. Schuler, G. Kramer, B. Lampe: Z. Phys. C — Particles and fields 32 (1986) 181

    Google Scholar 

  12. T. Muta: Foundations of quantum chromodynamics. Singapore: World Scientific Lect. Notes in Phys. Vol. 5

  13. D. Bardin et al.: Nucl. Phys. B351 (1991) 1

    Google Scholar 

  14. J. Jersak, E. Laermann, P.M. Zerwas: Phys. Rev. D 25 (1982) 1218

    Google Scholar 

  15. R. Kleiss, F.M. Renard, C. Verzegnasi: Nucl. Phys. B286 (1987) 669

    Google Scholar 

  16. G. Bonneau: Int. J. Mod. Phys. A5 (1990) 3831

    Google Scholar 

  17. J. Feikes: Anomalien in dimensionaler Regularisierung. Diplom thesis, unpublished II. Inst. f. theor. Physik, Univ. Hamburg (10/1988)

  18. G. Thompson: private communication

  19. M.J. Dugan, B. Grinstein: Phys. Lett. B256 (1991) 239

    Google Scholar 

  20. M. Chanowitz, M. Furman, I. Hinchcliffe: Nucl. Phys. B159 (1979) 225

    Google Scholar 

  21. R. Coqueraux: Spinors in physics and geometry. Singapore: World Scientific, A. Trautmann, G. Furlan (eds.) 1988

  22. A. Zee: Phys. Rev. Lett. 29 (1972) 1198

    Google Scholar 

  23. J. Collins: Renormalization. Cambridge, Cambridge Univ. Press 1984

    Google Scholar 

  24. G. Thompson et al.: Renormalization, World-Identities and the BM-scheme, in preparation

Download references

Author information

Author notes

  1. J. G. Körner

    Present address: Deutsches Elektronen-Synchrotron DESY, Hamburg, FRG

Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg Universität, Staudinger Weg 7, Postfach 3980, W-6500, Mainz, Federal Republic of Germany

    J. G. Körner, D. Kreimer & K. Schilcher

Authors
  1. J. G. Körner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Kreimer
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Schilcher
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by Bundesministerium für Forschung und Technologie

Rights and permissions

Reprints and permissions

About this article

Cite this article

Körner, J.G., Kreimer, D. & Schilcher, K. A practicableγ 5-scheme in dimensional regularization. Z. Phys. C - Particles and Fields 54, 503–512 (1992). https://doi.org/10.1007/BF01559471

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01559471

Keywords

Search

Navigation