Lagrange Formalism for Neutrino Field in Terms of Complex Isotropic Vectors
Keywords:Neutrino field, Lagrange formalism, tensor, complex isotropic vector.
In previous works, Weyl's equation for neutrino has been written in tensor form, in the form of non-linear Maxwell's like equations, through isotropic complex vector F=E+iH. It has been proved, that the complex vector F=E+iH satisfies non-linear condition F.F=0, equivalent to two conditions for real quantities E.E-H.H=0 and E.H=0, obtained by separating real and imaginary parts in the equality F.F=0.
In this work, in the development of this new formalism for description of fermions, we elaborated the Lagrange formalism for neutrino field in tensor formalism, in terms of complex isotropic vectors.
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