Geodesic
Vacuum interaction of conic singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 243-251

Voir la notice de l'article provenant de la source Math-Net.Ru

In the $(\operatorname{tr}\ln)$-formalism, we consider the problem of the vacuum interaction of conic singularities in a $D$-dimensional ($D\ge 3$) space–time. We show that the interaction energy regularized by dimensional regularization contains neither ultraviolet divergences nor divergences associated with the nonintegrable nature of the vacuum mean of the energy–momentum tensor operator. In the case of four space–time dimensions, the result coincides with those obtained previously in a local approach.
Mots-clés : Casimir effect
Keywords: conic singularity, dimensional regularization. 
@article{TMF_2016_186_2_a4,
     author = {Yu. V. Grats},
     title = {Vacuum interaction of conic singularities},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {243--251},
     publisher = {mathdoc},
     volume = {186},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a4/}
}
TY  - JOUR
AU  - Yu. V. Grats
TI  - Vacuum interaction of conic singularities
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2016
SP  - 243
EP  - 251
VL  - 186
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a4/
LA  - ru
ID  - TMF_2016_186_2_a4
ER  - 
%0 Journal Article
%A Yu. V. Grats
%T Vacuum interaction of conic singularities
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2016
%P 243-251
%V 186
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a4/
%G ru
%F TMF_2016_186_2_a4
Yu. V. Grats. Vacuum interaction of conic singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 243-251. http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a4/