Geodesic
Canonical quantization of $D$-dimensional $R^2$~gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 1, pp. 141-153

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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. 
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     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},
     publisher = {mathdoc},
     volume = {87},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a13/}
}
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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/