Minimal Cohomological Model of a Scalar Field on a Riemannian Manifold

Arkhipov, V.V.

dc.contributor.author	Arkhipov, V.V.
dc.date.accessioned	2019-03-11T06:55:04Z
dc.date.available	2019-03-11T06:55:04Z
dc.date.issued	2018-04
dc.identifier.citation	Arkhipov V.V. Minimal Cohomological Model of a Scalar Field on a Riemannian Manifold/ V.V.Arkhipov//Russian Physics Journal.-2018.-№12(60).-pp.2051-2062	ru_RU
dc.identifier.issn	1064-8887
dc.identifier.uri	http://rep.ksu.kz:80//handle/data/4163
dc.description.abstract	Lagrangians of the field-theory model of a scalar field are considered as 4-forms on a Riemannian manifold. The model is constructed on the basis of the Hodge inner product, this latter being an analog of the scalar product of two functions. Including the basis fields in the action of the terms with tetrads makes it possible to reproduce the Klein–Gordon equation and the Maxwell equations, and also the Einstein–Hilbert action. We conjecture that the principle of construction of the Lagrangians as 4-forms can give a criterion restricting possible forms of the field-theory models.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Springer New York LLC	ru_RU
dc.relation.ispartofseries	Russian Physics Journal;№12(60)
dc.subject	Riemannian manifold	ru_RU
dc.subject	differential forms	ru_RU
dc.subject	Hodge operator	ru_RU
dc.subject	cohomological model	ru_RU
dc.subject	GRT	ru_RU
dc.subject	Klein– Gordon equation	ru_RU
dc.title	Minimal Cohomological Model of a Scalar Field on a Riemannian Manifold	ru_RU
dc.type	Article	ru_RU