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Comments on the classical gauge field with sources

Joe Kiskis

  • Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545

Phys. Rev. D 21, 421 – Published 15 January, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.421

Abstract

Two results for the classical SU(2) gauge field interacting with a static external source are given: (1) The smooth solutions associated with a smooth non-Abelian source are non-Abelian. (2) The minimum-energy field configuration for a smooth source is not smooth. It exhibits a pathological property we refer to as high-wave-number screening.

References (12)

  1. Omitted endnote

  2. M. J. Lighthill, Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 1970)
  3. Omitted endnote

  4. J. Mandula, Phys. Rev. D 14, 3497 (1976) Phys. Lett. 67B, 175 (1977) P. Sikivie and N. Weiss, Phys. Rev. D 18, 3809 (1978) ibid.20, 487 (1979) Phys. Rev. Lett. 40, 1411 (1978) M. Magg, Phys. Lett. 78B, 481 (1978) ibid.77B, 199 (1978) K. Cahill, Phys. Rev. Lett. 41, 599 (1978) R. Jackiw, L. Jacobs, and C. Rebbi, Phys. Rev. D 20, 474 (1979) Y. Leroyer and A. Raychaudhuri, 20, 2086 (1979) University of Oxford Report No. 10/79 (unpublished) R. Jackiw and P. Rossi, University of Oxford Report No. 10/79 (to be published) P. Pirilä and P. Presnajder, Nucl. Phys. B142, 229 (1978) A. Gillespie, University of Durham report (unpublished) J. Harnad, S. Shnider, and Luc Vinet, J. Math. Phys. 20, 931 (1979) University of Montreal Report No. CRM 795 (unpublished) J. Kiskis, Phys. Rev. D (to be published)
  5. Omitted endnote

  6. J. Mandula, [4]
  7. P. Sikivie and N. Weiss, [4] P. Pirilä and P. Presnajder, [4] A. Gillespie, [4]
  8. P. Sikivie and N. Weiss, Phys. Rev. D 20, 487 (1979)
  9. C. Bernard, N. Christ, A. Guth, and E. Weinberg, Phys. Rev. D 16, 2967 (1977)
  10. P. Sikivie and N. Weiss, Phys. Rev. D 20, 487 (1979) J. Kiskis, ibid.20 (to be published)
  11. J. Kiskis, [10]
  12. [11]

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