Matrix-space dynamics with allowance for third-order terms in the Lagrangian
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 338-347
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The general principles of the matrix-space dynamics formulated in earlier investigations (Teor. Mat. Fiz., 1, 222 (1969); 3, 183 (1970)) are used to construct a Lagrangian in which not only the second-order but also the third-order terms in powers of the small deviation from the vacuum state are taken into account. It is shown that a suitable transformation can eliminate all the cubic terms in the expressions for the physical quantities. This corresponds to the absence of terms proportional to $\psi^3$ in the analogous expressions of a spinor theory.
[1] M. V. Gorbatenko, Yu. A. Romanov, TMF, 1 (1969), 222
[2] M. V. Gorbatenko, Yu. A. Romanov, TMF, 3 (1970), 183