Skip to main content
SpringerLink
Log in

Renormalization group equations for effective field theories

  • theoretical physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

We derive the renormalization group equations for a generic non-renormalizable theory. We show that the equations allow one to derive the structure of the leading divergences at any loop order in terms of one-loop diagrams only. In chiral perturbation theory, e.g., this means that one can obtain the series of leading chiral logs by calculating only one-loop diagrams. We discuss also the renormalization group equations for the subleading divergences, and the crucial role of counterterms that vanish at the equations of motion. Finally, we show that the renormalization group equations obtained here apply equally well also to renormalizable theories.

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. Steven Weinberg, The quantum theory of fields. Vol. 1: Foundations (Cambridge University Press 1995)

  2. Michael E. Peskin, D.V. Schroeder, An introduction to quantum field theory (Addison-Wesley Reading 1995)

  3. Steven Weinberg, Physica A 96, 327 (1979)

    Article  Google Scholar 

  4. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)

    MathSciNet  Google Scholar 

  5. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)

    Article  Google Scholar 

  6. G. Colangelo, Phys. Lett. B 350, 85 (1995), hep-ph/9502285

    Article  Google Scholar 

  7. Johan Bijnens, Gilberto Colangelo, Gerhard Ecker, JHEP 02, 020 (1999), hep-ph/9902437

    Google Scholar 

  8. J. Bijnens, G. Colangelo, G. Ecker, Phys. Lett. B 441, 437 (1998), hep-ph/9808421

    Article  Google Scholar 

  9. J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000), hep-ph/9907333

    Article  MathSciNet  MATH  Google Scholar 

  10. I. Jack, H. Osborn, Nucl. Phys. B 207, 474 (1982)

    Article  Google Scholar 

  11. D.I. Kazakov, Theor. Math. Phys. 75, 440 (1988)

    MathSciNet  Google Scholar 

  12. G. Ecker, M. Mojzis, Phys. Lett. B 365, 312 (1996), hep-ph/9508204

    Article  Google Scholar 

  13. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, M.E. Sainio, Nucl. Phys. B 508, 263 (1997), hep-ph/9707291

    Article  Google Scholar 

  14. D. Friedan, Phys. Rev. Lett. 45, 1057 (1980)

    Article  MathSciNet  Google Scholar 

  15. Luis Alvarez-Gaume, Daniel Z. Freedman, Sunil Mukhi, Ann. Phys. 134, 85 (1981)

    MathSciNet  Google Scholar 

  16. Martin B. Einhorn, Jose Wudka, JHEP 08, 025 (2001), hep-ph/0105035

    Google Scholar 

  17. M. Büchler, G. Colangelo, to be published

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Zürich, Winterthurerstr. 190, 8057 , Zürich, Switzerland

    M. Büchler

  2. Institut für Theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 , Bern, Switzerland

    M. Büchler & G. Colangelo

Authors
  1. M. Büchler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Colangelo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 5 September 2003, Published online: 20 November 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Büchler, M., Colangelo, G. Renormalization group equations for effective field theories. Eur. Phys. J. C 32, 427–442 (2003). https://doi.org/10.1140/epjc/s2003-01390-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2003-01390-2

Keywords

Search

Navigation