Classical Models of Confinement II

  • Harry Lehmann
  • Tai Tsun Wu


We generalize the class of Abelian models of paper I which lead to a linear potential between opposite charges. The electric field E is here taken as a power series in the electric displacement D raised to the σth power. We solve to first order the case of two opposite static point charges asymptotically for large separations.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Lehmann, H., Wu, T.T.: Nucl. Phys. B237, 205 (1984)MathSciNetADSMATHCrossRefGoogle Scholar
  2. 2.
    Pagels, H., Tomboulis, E.: Vacuum of the quantum Yang-Mills theory and magnetostatics. Nucl. Phys. B143, 485 (1978)MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    Adler, S.L.: Effective-action approach to mean-field non-Abelian statics and a model for bag formation. Phys. Rev. D23, 2905 (1981) Adler, S.L., Piran, T.: Flux confinement in the leading logarithm model. Phys. Lett. 113B, 405 (1982) Adler, S.L., Piran, T.: Relaxation methods for gauge field equilibrium equations. Rev. Mod. Phys. 56, 1 (1984)ADSCrossRefGoogle Scholar
  4. 4.
    Gelfand, I.M., Shilov, G.E.: Generalized functions, Vol. I. New York: Academic Press, 1964Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1985

Authors and Affiliations

  • Harry Lehmann
    • 1
  • Tai Tsun Wu
    • 2
    • 3
  1. 1.II. Institut für Theoretische Physik der Universität HamburgHamburgFederal Republic of Germany
  2. 2.Deutsches Elektronen-Synchrotron DESYHamburgFederal Republic of Germany
  3. 3.Gordon McKay LaboratoryHarvard UniversityCambridgeUSA

Personalised recommendations