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Earlier we obtained quasi-classical equations of motion of spin 1/2 masslessparticle in a curved spacetime on base of simple Lagrangian model \cite{al2}.Now we suggest an approach to derive the equations in framework of fieldtheory. Noether theorem formulated in terms of Cartan' formalism of orthonormalframes gives equations for current of spin of the field and tensor ofstress-energy. It is shown that under eikonal approximation the above mentionedequations can be reduced to equations for worldline of the particle andequation of spin of the particle along the worldline. This way conformitybetween corpuscular considerations of spin 1/2 massless particle and approachin framework of spinor field theory in curved spacetime is demonstrated.

Motion of Spin 1/2 Massless Particle in a Curved Spacetime. II. Field Lagrangian Approach