Skip to main content
Log in

Continuum regularization of quantum field theory

V. Schwinger-Dyson renormalization

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

As a complement to our earlier study of renormalization at the Langevin regularized level, we report here on equivalent renormalization programs for regularized Schwinger-Dyson systems. Both one-loop and iterated loop renormalizations of the Green functions of QCD4 are given, and are shown to be equivalent to the Langevin results. The optional apparent ℏ-renormalization discussed in IV is shown to apply as well to Schwinger-Dyson systems as to Langevin systems.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Z. Bern, M.B. Halpern, L. Sadun, C. Taubes: Phys. Lett. 165B (1985) 151

    Google Scholar 

  2. Z. Bern, M.B. Halpern, L. Sadun, C. Taubes: Nucl. Phys. B284 (1987) 1

    Google Scholar 

  3. Z. Bern, M.B. Halpern, L. Sadun, C. Taubes: Nucl. Phys. B284 (1987) 35

    Google Scholar 

  4. Z. Bern, M.B. Halpern, L. Sadun: Nucl. Phys. B284 (1987) 92

    Google Scholar 

  5. Z. ern, M.B. Halpern, L. Sadun: Z. Phys. C — Particles and Fields 35 (1987) 255

    Google Scholar 

  6. Z. Bern, M.B. Halpern, N.G. Kalivas: Heat kernel regularization of gauge theory. LBL-21286, UCB-PTH-86/6 (to be published in Phys. Rev. D)

  7. Z. Bern, H.S. Chan, M.B. Halpern: Continuum regularization of gauge theory with fermions, LBL-21552, UCB-PTH-86/14 (to be published in Z. Phys. C); Z. Bern, H.S. Chan, M.B. Halpern: Non-Grassmann formulation of regularized gauge theory with fermions. LBL-21786, UCB-PTH-86/17

  8. M.B. Halpern: Schwinger-Dyson formulation of coordinate-invariant regularization. LBL-22087, UCB-PTH-86/28

  9. L. Sadun: Continuum regularized QCD3, in preparation

  10. M.B. Halpern, “Continuum Regularization of Quantum Field Theory”, LBL-21871, UCB-PTH-86/19, (to be published in the Proceedings of the Symposium on Topological and Geometrical Methods in Field Theory. Espoo, June 8–14, 1986)

  11. P. Langevin: C.R. Acad. Sci. Paris 146 (1908) 530; G. Parisi, Wu Young-Shi: Sci. Sin. 24 (1981) 483

    Google Scholar 

  12. D. Zwanziger: Nucl. Phy. B192 (1981) 259; L. Baulieu, D. Zwanziger: Nucl. Phys. B193 (1981) 163; D. Zwanziger: Phys. Letts. 114B (1982) 337; D. Zwanziger: Nucl. Phys. B209 (1982) 336; E.G. Floratos, J. Iliopoulos, D. Zwanziger: Nucl. Phys. B241 (1984) 221; H.S. Chan, M.B. Halpern: Phys. Rev. D33 (1986) 540

    Google Scholar 

  13. A. Muñoz Sudupe, R.F. Alvarez-Estrada: J. Phys. A: Math. Gen. 16 (1983) 3049

    Google Scholar 

  14. M. Namiki, Y. Yamanaka: Had. J. 7 (1984) 594; M. Namiki, Y. Yamanaka: WU-HEP-86-1

    Google Scholar 

  15. J. Alfaro: LPTENS 84/8; J. Alfaro, R. Jengo, N. Parga: Phys. Rev. Lett. 54 (1985) 369

    Google Scholar 

  16. A. Muñoz Sudupe, R.F. Alvarez-Estrada: Phys. Lett. 164B (1985) 102; A Muñoz Sudupe, R.F. Alvarez-Estrada: Phys. Lett. 166B (1986) 186

    Google Scholar 

  17. R.E. Mortensen: J. Stat. Phys. 1 (1969) 271

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Address after Aug. 1 1987: Dept. of Mathematics, Caltech, Pasadena, CA 91125, USA

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sadun, L. Continuum regularization of quantum field theory. Z. Phys. C - Particles and Fields 36, 407–424 (1987). https://doi.org/10.1007/BF01573936

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01573936

Keywords

Navigation