Generalized wave operators and regularization of perturbation series
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 87-102
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All independent complex and real characteristics of a scalar and tensor nature are determined
for spinors in $n$-dimensional (generally, complex) Euclidian space. A one-to-one correspondence is established between the components of a spinor and of a proposed special complex tensor aggregate $C$, which is defined by the spinor. In real Euclidian spaces, a homomorphic relation between the components of a spinor and the components of a real tensor aggregate $D$, defined by the spinor, is given. All the formulas and relationships between a spinor and the aggregates $C$ and $D$ are given in particular for four-dimensional Minkowskispace. The resultant theory allows one to arrive at some conclusions about the possibility of a metric description of the interaction between fermion and gravitational fields.
@article{TMF_1970_2_1_a7,
author = {V. A. Zhelnorovich},
title = {Generalized wave operators and regularization of perturbation series},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {87--102},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a7/}
}
V. A. Zhelnorovich. Generalized wave operators and regularization of perturbation series. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 87-102. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a7/