Geodesic
Canonical quantization of $D$-dimensional $R^2$ gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 1, pp. 141-153 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The canonical formalism of $R^2$ gravity in spacetime of arbitrary dimension $D>4$ is constructed. It is shown that there exist five qualitatively different forms of this theory, in each of which the constraints in the phase space are found. Canonical quantization in a unitary gauge is performed, and the generating functional of the Green's functions is represented as a functional integral over the original fields with local measure. It is shown that in four forms of the theory the local measure has a nonstandard form; moreover, the structure of the local measure in one of these forms has not hitherto been encountered in quantum field theory models. 
@article{TMF_1991_87_1_a13,
     author = {I. L. Buchbinder and I. Yu. Karataeva and S. L. Lyakhovich},
     title = {Canonical quantization of $D$-dimensional $R^2$~gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {141--153},
     year = {1991},
     volume = {87},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a13/}
}
TY  - JOUR
AU  - I. L. Buchbinder
AU  - I. Yu. Karataeva
AU  - S. L. Lyakhovich
TI  - Canonical quantization of $D$-dimensional $R^2$ gravity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 141
EP  - 153
VL  - 87
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a13/
LA  - ru
ID  - TMF_1991_87_1_a13
ER  - 
%0 Journal Article
%A I. L. Buchbinder
%A I. Yu. Karataeva
%A S. L. Lyakhovich
%T Canonical quantization of $D$-dimensional $R^2$ gravity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 141-153
%V 87
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a13/
%G ru
%F TMF_1991_87_1_a13
I. L. Buchbinder; I. Yu. Karataeva; S. L. Lyakhovich. Canonical quantization of $D$-dimensional $R^2$ gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 1, pp. 141-153. http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a13/