Skip to main content
SpringerLink
Log in

Rigorous renormalization group

  • Comment
  • Published:

From Nature Physics

View current issue Submit your manuscript

The renormalization group evolved from ad hoc procedures to cope with divergences in perturbative calculations. This Comment summarizes efforts to develop a mathematically rigorous approach to renormalization group calculations.

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

References

  1. Gawedzki, K. & Kupiainen, A. Commun. Math. Phys. 99, 197–252 (1985).

    Article  ADS  Google Scholar 

  2. Feldman, J., Magnen, J., Rivasseau, V. & Seneor, R. Commun. Math. Phys. 109, 437–480 (1987).

    Article  ADS  Google Scholar 

  3. Aizenman, M. & Duminil-Copin, H. Ann. Math. 194, 163–235 (2021).

    Article  MathSciNet  Google Scholar 

  4. Balaban, T. Commun. Math. Phys. 122, 355–392 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  5. Feldman, J., Magnen, J., Rivasseau, V. & Seneor, R. Commun. Math. Phys. 103, 67–103 (1986).

    Article  ADS  Google Scholar 

  6. Gawedzki, K. & Kupiainen, A. Commun. Math. Phys. 102, 1–30 (1985).

    Article  ADS  Google Scholar 

  7. Giuliani, A., Mastropietro, V. & Porta, M. Commun. Math. Phys. 349, 1107–1161 (2017).

    Article  ADS  Google Scholar 

  8. Bauerschmidt, R., Brydges, D. C. & Slade, G. Introduction to a Renormalisation Group Method Lecture Notes in Mathematics 2242 (Springer, 2019).

  9. Bricmont, J. & Kupiainen, A. Commun. Math. Phys. 116, 539–572 (1988).

    Article  ADS  Google Scholar 

  10. Kennedy, T. & Rychkov, S. J. Stat. Phys. 187, 33 (2022).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

A.K. was supported by the Academy of Finland and European Research Council Advanced Grant 741487.

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland

    Antti Kupiainen

Authors
  1. Antti Kupiainen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Antti Kupiainen.

Ethics declarations

Competing interests

The author declares no competing interests.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kupiainen, A. Rigorous renormalization group. Nat. Phys. 19, 1539–1541 (2023). https://doi.org/10.1038/s41567-023-02233-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41567-023-02233-x

  • Springer Nature Limited

Search

Navigation