Electrodynamics; a consequence of nonlinear realizations of the Lorentz group

B.J. Dalton

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 233-236

Abstract: We present a brief review of diagonal nonlinear realizations of the Lorentz group with an accent on recent developments which show that these realizations are sufficient to generate, via the covariant derivative, the interaction of minimal coupling. These diagonal realizations are characterized by six functions φi which must satisfy a system of transformation equations. Inequivalent categories of solutions for the φi give rise to different electromagnetic fields. The monopole and Coulomb potentials follow directly from two different categories of these nonlinear realizations. Within this theory, charge becomes simply the nonlinear counterpart of intrinsic spin for a particular nonlinear realization of the Lorentz group. Charge is thus placed on equal footing with intrinsic spin in the sense that both phenomena can be described as consequences of our space-time symmetry.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:233-236

DOI: 10.1016/0378-4371(82)90289-8

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