Geodesic
Method of dimensional regularization for scalar and vector fields in homogeneous isotropic spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 64-77 
S. G. Mamaev; V. M. Mostepanenko; V. A. Sheluto. Method of dimensional regularization for scalar and vector fields in homogeneous isotropic spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 64-77. http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a4/
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     author = {S. G. Mamaev and V. M. Mostepanenko and V. A. Sheluto},
     title = {Method of dimensional regularization for scalar and vector fields in homogeneous isotropic spaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--77},
     year = {1985},
     volume = {63},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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