Spin-1/2 Maxwell Fields (II)

Details Spin-1/2 Maxwell Fields (II) Spin-1/2 Maxwell Fields (II)

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..apr.d1004a&link_type=abstract

American Physical Society, April Meeting, 2003, April 5-8, 2003 Philadelphia, Pennsylvania, MEETING ID: APR03, abstract #D1.004

Physics

Scientific paper

Requiring covariance of Maxwell's equations without a priori imposing charge invariance allows for both spin-1 and spin-1/2 transformations of the complete Maxwell field and current. The spin-1/2 case yields new transformation rules, with new invariants, for all traditional Maxwell field and source quantities. The associated spin-1/2 representation of the Lorentz group employs the Lorentz metric and thus the invariants of the spin-1/2 Maxwell field are analogous to those of its four-vector counterpart, e.g., Φ^2 - A^2, E^2 - B^2 + 2iE ot B - partial0 Φ - nabla ot A. However, traditional field and source quantities are complex and neither charge nor the four-divergence of the potentials remains invariant. Requiring the potentials to satisfy the Klein-Gordon equation equates the Maxwell and constitutive equations with two Dirac equations of identical mass and thus one (complex) Klein-Gordon Maxwell field can describe either one vector boson field or two equal-mass Dirac fields.

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