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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 2, Number 1, Pages 87–102
(Mi tmf3992)
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This article is cited in 5 scientific papers (total in 5 papers)
Generalized wave operators and regularization of perturbation series
V. A. Zhelnorovich
Abstract:
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.
Received: 10.06.1969
Citation:
V. A. Zhelnorovich, “Generalized wave operators and regularization of perturbation series”, TMF, 2:1 (1970), 87–102; Theoret. and Math. Phys., 2:1 (1970), 66–77
Linking options:
https://www.mathnet.ru/eng/tmf3992 https://www.mathnet.ru/eng/tmf/v2/i1/p87
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