Skip to main content
SpringerLink
Log in

Geometry ofSU(2) gauge fields

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

Abstract

We studySU(2) Yang-Mills theory onS 3×ℝ from the canonical view-point. We use topological and differential geometric techniques, identifying the “true” configuration space as the base-space of a principal bundle with the gauge-group as structure group.

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. Dirac, P.A.M.: Lectures on quantum mechanics. New York: Belfer Graduate School Science, Yeshiva University 1964

    Google Scholar 

  2. Faddeev, L.D.: The Feynman integral for singular Lagrangians. Theor. Math. Phys.1, 3–18 (1963)

    Google Scholar 

  3. Gribov, V.N.: Instability of non-abelian gauge theories and impossibility of choice of Coulomb gauge. SLAC Translation176, (1977)

  4. Singer, I.M.: Some remarks on the Gribov ambiguity. Commun. Math. Phys.60, 7–12 (1978)

    Google Scholar 

  5. Adams, R.A.: Sobolev spaces. New York, San Francisco, London: Academic Press 1975

    Google Scholar 

  6. Eels, Jr., J.: A setting for global analysis. Bull. Am. Math. Soc.72, 751–807 (1966)

    Google Scholar 

  7. Bourbaki, N.: Topologie générale, Chapt. 3–4. Paris: Hermann 1960

    Google Scholar 

  8. Dieudonné, J.: Foundations of modern analysis, Vol. 1. New York, London: Academic Press 1969

    Google Scholar 

  9. Kodaira, K., Nirenberg, L., Spencer, D.C.: On the existence of deformations of complex analytic structures. Ann. Math.68, 450–459 (1958)

    Google Scholar 

  10. Bourbaki, N.: Variétés différentielles et analytiques (Fascicule de resultats), Paragraphes 1 à 7. Paris: Hermann 1967

    Google Scholar 

  11. Seifert, H., Threlfall, W.: Lehrbuch der Topologie. New York: Chelsea 1947

    Google Scholar 

  12. Milnor, J.: Lectures on theh-cobordism theorem. Princeton: Princeton University Press 1965

    Google Scholar 

  13. Koszul, J.L.: Lectures on fibre bundles and differential geometry. Bombay: Tata Institute of Fundamental Research 1960

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tata Institute of Fundamental Research, 400 005, Bombay, India

    M. S. Narasimhan & T. R. Ramadas

Authors
  1. M. S. Narasimhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. R. Ramadas
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. Glimm

Rights and permissions

Reprints and permissions

About this article

Cite this article

Narasimhan, M.S., Ramadas, T.R. Geometry ofSU(2) gauge fields. Commun.Math. Phys. 67, 121–136 (1979). https://doi.org/10.1007/BF01221361

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01221361

Keywords

Search

Navigation