Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-04
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figure
Scientific paper
The nonlinear spinor fields coupled with the interactive potentials are important in the theory of elementary particles. In this paper, we establish the relationship between field theory and corresponding classical mechanics, and derive the local Lorentz transformations for the classical parameters. The classical mass of a particle is clearly defined, and the energy-speed relations for each potential term are strictly derived. The analysis in this paper shows that the different kind of potential results in different energy-speed relation, and the mass-energy relation $E=mc^2$ only exactly holds for the linear fields. The energy-speed relations can be used as fingerprints to identify the interactive potentials of a particle via elaborated experiments.
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