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4th International Conference on Physics

Berlin, Germany

J Buitrago

University of La Laguna, Spain

Title: Transformation properties of electromagnetic field strength quantities under local gauge U(1) symmetry described in two-spinor language and induced zitterbewegung (trembling motion) in spin 1/2 particles

Biography

Biography: J Buitrago

Abstract

After a brief discussion about classical local U(1) gauge invariance in Weyl two-spinor form (in terms of the electric and
magnetic field strength components) and the associated two spinor equations equivalent to the Lorentz force equation of
electrodynamics. The local U(1) gauge transformation properties of the different components of the symmetric second order
electromagnetic field spinor are analyzed. It is found that only the third component of the magnetic field is changed by local
gauge transformations. Using the gauge freedom associated with the third component of the magnetic field and choosing an
specific gauge (in a somewhat similar manner as the familiar Coulomb gauge in QED) it is shown that the phenomenon of
zitterbewegung (trembling motion) appears in a natural way as internal motion with the velocity of light applicable to any
one-half spin particle thus suggesting a kinematic origin of its rest mass and helicity. This result is in sharp contrast with the
traditional interpretation (emerging from the Dirac equation) as transitions between positive and negative energy states.