A description of gauge fields based on symmetric second-order spinors is considered. The Lagrange function and the equations of motion are found. The gravitational field in vacuum and in the presence of matter is studied, as well as the interaction of the gravitational and an arbitrary tensor fields. It is shown that in this approach, the source of the gravitational field is the tensor of the density of the spin part of angular momentum.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
J. Schwinger, Particles, Sources, and Fields, Vol. 1, Addison-Wesley, Reading, MA (1970).
Yu. V. Navozhilov, Introduction to the Theory of Elementary Particles [in Russian], Nauka, Moscow (1972), p. 137.
V. R. Tikhomirov, G. M. Tumaeva, and E. N. Tumaev, VINITI Dep. No. 669-80.
A. A. Slavnov and L. D. Faddeev, Introduction to Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1978), p. 10.
S. Deser and P. van Nieuwenhuisen, Phys. Rev.,D10, 411 (1974).
N. V. Mitskevich, Physical Fields in General Relativity [in Russian], Nauka, Moscow (1969).
N. P. Konopleva, in: Problems in Theory of Gravitation and Elementary Particles [in Russian], No. 3, Atomizdat, Moscow (1970), p. 103.
M. Carmeli and S. I. Fickler, Phys. Rev.,D5, 290 (1972).
S. I. Fickler and M. Russo, Phys. Rev.D3, 1782 (1971).
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantum Fields [in Russian], 2nd edn., Nauka, Moscow (1973), p. 60.
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 35–39, September, 1983.
About this article
Cite this article
Tikhomirov, V.P., Tumaev, E.N. First-order formalism in gauge field theory. Soviet Physics Journal 26, 802–806 (1983). https://doi.org/10.1007/BF00891844
- Field Theory
- Angular Momentum
- Gravitational Field
- Gauge Field
- Lagrange Function