Lagrange Formalism for Neutrino Field in Terms of Complex Isotropic Vectors
Keywords:
Neutrino field, Lagrange formalism, tensor, complex isotropic vector.Abstract
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.
References
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