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Dirac Neutrino Equation

The Dirac equation, extended to include neutrinos, predicts their mass and interactions, forming the basis for early neutrino theories.
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The statement of the theorem

Let ψ\psi be the four-component Dirac spinor representing the neutrino field, and let mm be its mass. The Dirac equation in natural units (ℏ=c=1\hbar = c = 1) is given by: \n(iγμ∂μ−m)ψ=0\left(i \gamma^{\mu} \partial_{\mu} - m\right) \psi = 0 \nwhere γμ\gamma^{\mu} are the Dirac gamma matrices satisfying the anti-commutation relation {γμ,γν}=2ημνI\left\{ \gamma^{\mu}, \gamma^{\nu} \right\} = 2 \eta^{\mu \nu} \mathbb{I}, and ημν=diag(+1,−1,−1,−1)\eta^{\mu \nu} = \text{diag}(+1, -1, -1, -1) is the Minkowski metric.