Threefold Family of Charged Spin-1/2 Dirac Bubbles

preprint1993arXivOpen access

Abstract

We extend Dirac's `extensible model of the electron' to include spin and family. U(1)e.m.U(1)_{e.m.} charge conservation on the bubble is translated into a secondary U(1)gU(1)_{g} world-manifold gauge principle. Reflecting the secondary magnetic monopole configuration on spatial S2S^2, the harmonic excitations may furnish half integer SU(2)spin⊗U(1)gSU(2)_{spin}\otimes U(1)_{g} representations. Our spin--1/21/2 `electron' is described by four world-manifold scalar fields. Its three varieties are associated with different minima of the (6th--order) surface-tension scalar potential.

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