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
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
The energy stress tensor has to be included into the system of commutators for
deriving the relativistic invariance conditions.
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Theoretical and Mathematical Physics, 1971, 9:3, 1176–1182
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
Citation in format AMSBIB
\paper Conditions of consistency, completeness, and relativistic invariance of the algebra of equal-time commutators
\jour Theoret. and Math. Phys.
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This publication is cited in the following articles:
Yu. M. Shirokov, “Covariant formalism for equal-time commutators”, Theoret. and Math. Phys., 15:1 (1973), 329–344
Yu. M. Shirokov, “Canonical expansions of commutators and field products on the cone and at short distances in the universal algebra formalism”, Theoret. and Math. Phys., 25:1 (1975), 939–943
K. V. Indukaev, Yu. M. Shirokov, “Covariantization of the Boulware-Deser representation for the equal-time commutator of the energy-momentum tensor”, Theoret. and Math. Phys., 25:2 (1975), 1060–1064
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