Geodesic
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. 
@article{TMF_1971_6_3_a4,
     author = {I. V. Baum and M. V. Gorbatenko and Yu. A. Romanov},
     title = {Matrix-space dynamics with~allowance for~third-order terms {in~the~Lagrangian}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {338--347},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_6_3_a4/}
}
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I. V. Baum; M. V. Gorbatenko; Yu. A. Romanov. Matrix-space dynamics with~allowance for~third-order terms in~the~Lagrangian. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 338-347. http://geodesic.mathdoc.fr/item/TMF_1971_6_3_a4/