Abstract:
A consistent analytic continuation of the relations of the theory of quantized scalar
(with arbitrary coupling) and vector fields in isotropic metrics into the complex
plane with respect to the number of space-time dimensions is constructed.
Dimensionally regularized values are obtained for the quantities subtracted from
the vacuum energy-momentum tensor when the divergences are eliminated, and
their geometrical structure is established. All the infinite subtractions are
interpreted in terms of renormalizations.
Citation:
S. G. Mamaev, V. M. Mostepanenko, V. A. Sheluto, “Method of dimensional regularization for scalar and vector fields in homogeneous isotropic spaces”, TMF, 63:1 (1985), 64–77; Theoret. and Math. Phys., 63:1 (1985), 366–375
\Bibitem{MamMosShe85}
\by S.~G.~Mamaev, V.~M.~Mostepanenko, V.~A.~Sheluto
\paper Method of dimensional regularization for scalar and vector fields in homogeneous isotropic spaces
\jour TMF
\yr 1985
\vol 63
\issue 1
\pages 64--77
\mathnet{http://mi.mathnet.ru/tmf4746}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=794472}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 1
\pages 366--375
\crossref{https://doi.org/10.1007/BF01017836}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ATJ6000005}
Linking options:
https://www.mathnet.ru/eng/tmf4746
https://www.mathnet.ru/eng/tmf/v63/i1/p64
This publication is cited in the following 8 articles:
Vladimir Mostepanenko, Galina Klimchitskaya, “Whether an Enormously Large Energy Density of the Quantum Vacuum Is Catastrophic”, Symmetry, 11:3 (2019), 314
Yu. V. Pavlov, “The n-Wave Procedure and Dimensional Regularization for the Scalar Field in a Homogeneous Isotropic Space”, Theoret. and Math. Phys., 138:3 (2004), 383–396
Yu. V. Pavlov, “Renormalization and Dimensional Regularization for a Scalar Field with Gauss–Bonnet-Type Coupling to Curvature”, Theoret. and Math. Phys., 140:2 (2004), 1095–1108
Yu. V. Pavlov, Operator Methods in Ordinary and Partial Differential Equations, 2002, 323
Yu. V. Pavlov, “Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Hamiltonian Diagonalization Method”, Theoret. and Math. Phys., 126:1 (2001), 92–100
Yu. V. Pavlov, “Dimensional Regularization and the n-Wave Procedure for Scalar Fields in Many-Dimensional Quasi-Euclidean Spaces”, Theoret. and Math. Phys., 128:2 (2001), 1034–1045
M Bordag, J Lindig, V M Mostepanenko, “Particle creation and vacuum polarization of a non-conformal scalar field near the isotropic cosmological singularity”, Class. Quantum Grav., 15:3 (1998), 581
V. M. Mostepanenko, I. Yu. Sokolov, “Energy-momentum tensor of intermediate vector bosons in an external electromagnetic field”, Theoret. and Math. Phys., 74:2 (1988), 137–142
Citation in format AMSBIB
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