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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 9, Number 3, Pages 333–342
(Mi tmf4495)
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This article is cited in 3 scientific papers (total in 3 papers)
Conditions of consistency, completeness, and relativistic invariance of the algebra of equal-time commutators
Yu. M. Shirokov
Abstract:
The problem of obtaining the necessary and sufficient conditions, which ensure the
consistency, completeness and relativistic covariance of the system of equal-time commutators
has been stated and solved.
The difficulties arise from the fact that the system of the commutators is cumbersome
and put down in a noncovariant form. These difficulties have been tackled by
the functorial transition from the category of quantum fields into the category of universal
algebras. In the universal algebra each local quantity is represented by the corresponding
element of the algebra. The elements of the algebra have no coordinate dependence.
Each equal-time commutator is represented by the finite set of various nonassociative
multiplications.
The energy stress tensor has to be included into the system of commutators for
deriving the relativistic invariance conditions.
Received: 17.02.1971
Citation:
Yu. M. Shirokov, “Conditions of consistency, completeness, and relativistic invariance of the algebra of equal-time commutators”, TMF, 9:3 (1971), 333–342; Theoret. and Math. Phys., 9:3 (1971), 1176–1182
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https://www.mathnet.ru/eng/tmf4495 https://www.mathnet.ru/eng/tmf/v9/i3/p333
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Abstract page: | 247 | Full-text PDF : | 88 | References: | 23 | First page: | 1 |
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