Skip to main content
SpringerLink
Log in

Propagators for lattice gauge theories in a background field

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

Abstract

We prove regularity and decay properties for propagators connected with the renormalization group method in lattice gauge theories. These propagators depend on an external gauge field configuration, called a background field.

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. Balaban, T.: “Renormalization group methods in non-Abelian gauge theories,” Harvard preprint HUTMP B134

  2. Balaban, T.: “Regularity and decay of lattice Green's functions.” Commun. Math. Phys.89, 571–597 (1983)

    Google Scholar 

  3. Balaban, T.: “Propagators and renormalization transformations for lattice gauge theories. I”. Commun. Math. Phys.95, 17–40 (1984)

    Google Scholar 

  4. Balaban, T.: “Propagators and renormalization transformations for lattice gauge theories. II.” Commun. Math. Phys.96, 223–250 (1984)

    Google Scholar 

  5. Balaban, T.: “Averaging operations for lattice gauge theories.” Harvard preprint HUTMP B147, to be published in CMP.

  6. Brydges, D. Fröhlich, J., Seiler, E.: “On the construction of quantized gauge fields. I. General results.” Ann. Phys.121, 227–284 (1979)

    Google Scholar 

  7. Osterwalder, K. Seiler, E.: “Gauge field theories on a lattice.” Ann. Phys.110, 440–471 (1978)

    Google Scholar 

  8. Seiler, E.: Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics. Lecture Notes in Physics, vol. 159, Berlin-Heidelberg-New York: Springer-Verlag, 1982

    Google Scholar 

  9. Wilson, K. G.: “Quantum chromodynamics on a lattice.” In: Quantum Field Theory and Statistical Mechanics, Cargèse 1976, ed. by M. Lévy and P. Mitter. New York: Plenum Press, 1977, pp. 143–172

    Google Scholar 

  10. Wilson, K. G.: “Monte Carlo calculations for the lattice gauge theory.” In: Recent Developments in Gauge Theories, ed. by G. 't Hooft, C. Itzykson, A. Jaffe, M. Lehmann, P. K. Mitter, I. M. Singer and R. Stora. New York Plenum Press, 1980, pp. 363–402

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Harvard University, 02138, Cambridge, MA, USA

    T. Balaban

Authors
  1. T. Balaban
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by A. Jaffe

Research supported in part by the National Science Foundation under Grant PHY-82-0369

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balaban, T. Propagators for lattice gauge theories in a background field. Commun.Math. Phys. 99, 389–434 (1985). https://doi.org/10.1007/BF01240355

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01240355

Keywords

Search

Navigation