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Turkish Journal of Physics

2022

Canonical formalism

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Variational Field Equations Of A Majorana Neutrino Coupled To Einstein's Theory Of General Relativity, Dündar Teki̇n Dereli̇, Yorgo Şeni̇koğlu Jan 2022

Variational Field Equations Of A Majorana Neutrino Coupled To Einstein's Theory Of General Relativity, Dündar Teki̇n Dereli̇, Yorgo Şeni̇koğlu

Turkish Journal of Physics

A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order variational field equations is explicitly demonstrated. The Lagrange multiplier 2-forms we use turn out to be precisely the Belinfante-Rosenfeld 2-forms that are needed to symmetrize the canonical energy-momentum tensor of the Majorana spinor.