Abstract
Properties of velocity dependent gauge transformations are examined in the electromagnetic theory coupled to a fermion. The velocity dependent gauge transformations exhibit “non-abelian structure” in the Lie ring of the gauge group even for an abelian theory. Under the velocity dependent gauge transformation the variation of the Lagrangian density is a total divergence.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Sugano, Y. Kagraoka: Z. Phys. C — Particles and Fields 52 (1991) 437
R. Sugano, Y. Saito, T. Kimura: Prog. Theor. Phys. 76 (1986) 283
R. Sugano, T. Kimura: J. Math. Phys. 31 (1990) 2337
I.A. Batalin, G.A. Vilkovisky: Nucl. Phys. B234 (1984) 106
R. Sugano, H. Kamo: Prog. Theor. Phys. 67 (1982) 1966
E.C.G. Sudershan, N. Mukunda: Classical dynamics, a modern perspective. New York: Wiley 1972
R. Sugano, T. Kimura: Phys. Rev. D41 (1990) 1247
E.S. Fradkin, G.A. Vilkovisky: CERN preprint, Ref. TH. 2332-CERN (1977)
T. Kugo, I. Ojima: Prog. Theor. Phys. Suppl. 66 (1979) 1
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sugano, R., Kagraoka, Y. Extension to velocity dependent gauge transformations. Z. Phys. C - Particles and Fields 52, 443–447 (1991). https://doi.org/10.1007/BF01559439
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01559439