Skip to main content
SpringerLink
Log in

Finite quantum field theory and renormalization group

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

Renormalization group methods are applied to a scalar field within a finite, nonlocal quantum field theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem in scalar field theory, the Higgs boson mass hierarchy problem and the stability of the vacuum do not arise as issues in the theory. The scalar Higgs field has no Landau pole.

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

Fig. 1

Similar content being viewed by others

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There are no associated data available.]

References

  1. J.W. Moffat, Eur. Phys. J. Plus 134, 443 (2019). arXiv:1812.01986

    Article  Google Scholar 

  2. J.W. Moffat, Eur. Phys. J. Plus 136, 601 (2021). arXiv:2009.10145

  3. G. Kleppe, R.P. Woodard, Ann. Phys. 221, 106 (1993)

    Article  ADS  Google Scholar 

  4. C. Callan, Phys. Rev. D 2, 1541 (1970)

    Article  ADS  Google Scholar 

  5. K. Symanzik, Commun. Math. Phys. 18, 227 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  6. K. Symanzik, Commun. Math. Phys. 23, 49 (1971)

    Article  ADS  Google Scholar 

  7. M.E. Peskin, D.V. Schroeder, An Introxuction to Quantum Field Theory, Addison-Wesley, Reading 1995, 2nd edn. (Westview Press, 2015)

  8. F.J. Dyson, Phys. Rev. 75, 486 (1949)

    Article  ADS  MathSciNet  Google Scholar 

  9. F.J. Dyson, Phys. Rev. 85, 631 (1952)

    Article  ADS  MathSciNet  Google Scholar 

  10. L. D. Landau, Niels Bohr and the Development of Physics, London, Pergamon Press LTD, p. 52, (1955)

  11. L.D. Landau, I. Ya Pomeranchuk, Dokl. Akad. Nauk SSSR 102, 489 (1955)

    MathSciNet  Google Scholar 

  12. L.D. Landau, A. Abrikosov, L. Halatnikov, Suppplemento AL, 111. Il Nuovo Cimento (1956)

  13. D.J.E. Callaway, R. Petronzio, Nucl. Phys. B 277, 50 (1986)

    Article  ADS  Google Scholar 

  14. D.J.E. Callaway, Phys. Rep. 167, 241 (1998)

    Article  ADS  Google Scholar 

  15. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975)

    Article  ADS  Google Scholar 

  16. J.W. Moffat, Phys. Rev. D 41, 1177 (1990)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

Research at the Perimeter Institute for Theoretical Physics is supported by the Government of Canada through industry Canada and by the Province of Ontario through the Ministry of Research and Innovation (MRI).

Author information

Authors and Affiliations

  1. Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada

    M. A. Green & J. W. Moffat

  2. Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    J. W. Moffat

Authors
  1. M. A. Green
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. W. Moffat
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. W. Moffat.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Green, M.A., Moffat, J.W. Finite quantum field theory and renormalization group. Eur. Phys. J. Plus 136, 919 (2021). https://doi.org/10.1140/epjp/s13360-021-01904-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-021-01904-z

Search

Navigation