Abstract
We propose a Lorentz-covariant Yang-Mills “spin-gauge” theory, where the function-valued Pauli matrices play the role of a nonscalar Higgs field. As symmetry group we choose SU(2) × U(1) of the 2-spinors describing particle/antiparticle states. After symmetry breaking, a nonscalar Lorentz-covariant Higgsfield gravity appears, which can be interpreted within a classical limit as Einstein's metrical theory of gravity, where we restrict ourselves in a first step to its linearized version.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bade, W., and Jehle, H. (1953).Review of Modern Physics,25, 714.
Barut, A. O., and McEwan, J. (1984).Physics Letters,135, 172.
Barut, A. O., and McEwan, J. (1986).Letters on Mathematical Physics,11, 67.
Dehnen, H., and Hitzer, E. (1994).International Journal of Theoretical Physics,33, 575.
Drechsler, W. (1988).Zeitschrift für Physik C,41, 197.
Ebner, D., and Dehnen, H. (1993).Physikalische Blätter,11, 1013.
Einstein, A. (1916).Annalen der Physik,49, 769 [reprinted in Lorentz, H. A., Einstein, A., and Minkowski, H. (1958).Das Relativitätsprinzip, 6th ed., Wissenschaftlische Buchgesellschaft, Darmstadt].
Hehl, F. (1973).General Relativity and Gravitation,5, 333.
Hehl, F. (1974).General Relativity and Gravitation,4, 491.
Laporte, O., and Uhlenbeck, B. (1931).Physical Review,37, 1380.
Morrison, P. (1958).American Journal of Physics,26, 358.
Nieto, M., and Goldman, T. (1991).Physics Reports,205, 221.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dehnen, H., Hitzer, E. SU(2)×U(1) gauge gravity. Int J Theor Phys 34, 1981–2001 (1995). https://doi.org/10.1007/BF00674079
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00674079