Thursday, December 27, 2012

1212.6000 (A. D. Alhaidari)

Nonlinear Dirac equations that preserve the conformal degree    [PDF]

A. D. Alhaidari
Maintaining the conformal degree of the spinor field in D+1 space-time and choosing dimensionless coupling, we obtain the nonlinear self-interaction term in the spinor Lagrangian from which the Dirac equation is derived by variations. In 1+1 dimension, we show that these requirements result in the "conventional" quartic form of the nonlinear interaction and we present the corresponding general equation.
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