Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-09-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
We introduce the Mass Operator $(\hat{m}=i\hbar \frac{\partial}{\partial\tau})$ in comparing the correspondence between mass-energy equation and invariant space-time interval in Special Relativity with the correspondence between operators and classical physical quantities in Quantum Mechanics, where the quantity $\tau$ is the proper time of a single particle. The commutation rejection of the mass operator is drawn out in the derivation of the Dirac equation. And the formula of the plane wave of a freely-propagating particle has been generalized to be $exp[\frac{-i}{\hbar}(-Et+\vec{P}\cdot\vec{x}+m\cdot\tau)]$. Furthermore, we investigate the local gauge transformation properties of the Dirac equation after we introduced the mass operator into the theory. It turns out that in this case the mass term of non-Ablian gauge fields can be introduced in theory and none of auxiliary fields is needed.
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