Skip to main content
SpringerLink
Log in

Renormalization of Feynman integrals on the lattice

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A perturbative renormalization procedure is proposed which applies to massive field theories on a space-time lattice and is analogous to the BPHZ finite part prescription for continuum Feynman integrals. The renormalized perturbation theory is shown to be universal, i.e. under very natural assumptions the continuum limit exists and is independent of the details of the lattice action.

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. Zimmermann, W.: Convergence of Bogoliubov's method of renormalization in momentum space. Commun. Math. Phys.15, 208–234 (1969)

    Google Scholar 

  2. Hahn, Y., Zimmermann, W.: An elementary proof of Dyson's power counting theorem. Commun. Math. Phys.10, 330–342 (1968)

    Google Scholar 

  3. Reisz, T.: A power counting theorem for Feynman integrals on the lattice. Commun. Math. Phys.116, 81–126 (1988)

    Google Scholar 

  4. Gomes, M., Lowenstein, J. H., Zimmermann, W.: Generalization of the momentum space subtraction procedure for renormalized perturbation theory. Commun. Math. Phys.39, 81–90 (1974)

    Google Scholar 

  5. Nakanishi, N.: Graph Theory and Feynman integrals. New York: Gordon and Breach 1971

    Google Scholar 

  6. Lowenstein, J. H.: Convergence theorems for renormalized Feynman integrals with Zero-Mass propagators. Commun. Math. Phys.47, 53–68 (1976)

    Google Scholar 

  7. Lowenstein, J. H., Zimmermann, W.: The power counting theorem for Feynman integrals with massless propagators. Commun. Math. Phys.44, 73–86 (1975)

    Google Scholar 

  8. Bandelloni, G., Becchi, C., Blasi, A., Collina, R.: Renormalization of models with radiative mass generation. Commun. Math. Phys.67, 147–178 (1978)

    Google Scholar 

  9. Lowenstein, J., Zimmermann, W.: On the formulation of theories with Zero-Mass propagators. Nucl. Phys.B86, 77 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Deutsches Elektronen-Synchrotron DESY, D-2000, Hamburg, Federal Republic of Germany

    Thomas Reisz

Authors
  1. Thomas Reisz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by A. Jaffe

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reisz, T. Renormalization of Feynman integrals on the lattice. Commun.Math. Phys. 117, 79–108 (1988). https://doi.org/10.1007/BF01228412

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01228412

Keywords

Search

Navigation