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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 8, Number 2, Pages 175–191
(Mi tmf4396)
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This article is cited in 1 scientific paper (total in 1 paper)
Axiomatic field theory in terms of operator Jacobi matrices
Yu. M. Berezanskii, V. D. Koshmanenko
Abstract:
It is shown that the Wightman axiomatic theory of an tlermitian scalar field can be reformulated
in terms of operator Jacobi matrices in analogy with the transition to Jacobi matrices
in the problem of moments. This reformulation ieads naturally to the concept of a quasifield,
an object that is simpler than a field. The generating funetionals that define the quasifield
and are reiated to the Wightman functionals are studied. In the case of a free field,
specification of the latter by creation and annihilation operators is identical with the specification
in terms of Jacobi matrices.
Received: 29.05.1970
Citation:
Yu. M. Berezanskii, V. D. Koshmanenko, “Axiomatic field theory in terms of operator Jacobi matrices”, TMF, 8:2 (1971), 175–191; Theoret. and Math. Phys., 8:2 (1971), 754–765
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https://www.mathnet.ru/eng/tmf4396 https://www.mathnet.ru/eng/tmf/v8/i2/p175
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Abstract page: | 366 | Full-text PDF : | 131 | References: | 81 | First page: | 3 |
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