Skip to main content
SpringerLink
Log in

Deconfining phase transition in the U(1) model with Wilson's action

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

Abstract

In dimensiond≧4, the lattice U(1) gauge theory defined with the Wilson action is shown to have a deconfining phase transition at weak coupling. The proof uses a higher dimensional analogue of the Higgs mechanism and a correlation inequality to remove the massless modes of the theory. The remaining modes are controlled by a simple cluster expansion.

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., Brydges, D., Imbrie, J., Jaffe, A.: The mass gap for Higgs models on a unit lattice. Ann. Phys.158, 281–319 (1984)

    Google Scholar 

  2. Brydges, D.: A short course on cluster expansions. In: Proceedings of 1984 Les Houches summer school. Osterwalder, K. (ed.) (to be published)

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

    Google Scholar 

  4. Fröhlich, J., Spencer, T.: Massless phases and symmetry restoration in abelian gauge theories and spin systems. Commun. Math. Phys.83, 411–454 (1982)

    Google Scholar 

  5. Fröhlich, J., Spencer, T.: The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the coulomb gas. Commun. Math. Phys.81, 527–602 (1981)

    Google Scholar 

  6. Göpfert, M., Mack, G.: Proof of confinement of static quarks in 3-dimensional U(1) Lattice gauge theory for all values of the coupling constant. Commun. Math. Phys.82, 545–606 (1982)

    Google Scholar 

  7. Guth, A.: Existence proof of a nonconfining phase in four dimensional U(1) Lattice gauge Theory. Phys. Rev. D21, 2291–2307 (1980)

    Google Scholar 

  8. Kennedy, T., King, C.: Spontaneous symmetry breakdown in the abelian Higgs model. Commun. Math. Phys.104, 327–347 (1986). See also Phys. Rev. Lett.55, 776–778 (1985)

    Google Scholar 

  9. 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 1982

    Google Scholar 

  10. Wilson, K.: Confinement of quarks. Phys. Rev. D10, 2445–2459 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Princeton University, 08544, Princeton, NJ, USA

    Chris King

Authors
  1. Chris King
    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 U.S. National Science Foundation grant PHY 8117463

Rights and permissions

Reprints and permissions

About this article

Cite this article

King, C. Deconfining phase transition in the U(1) model with Wilson's action. Commun.Math. Phys. 105, 675–690 (1986). https://doi.org/10.1007/BF01238939

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01238939

Keywords

Search

Navigation