Geodesic
On~the coordinate representation in~the quantum theory of~gauge fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 2, pp. 193-202

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In the general gauge theory the problem of realisation of the Hilbert space of geometrodynamical state vectors is considered. It is pointed out that the naive realization is contradictory. A consistent realization in the coordinate representation is constructed which is based on the standard canonical quantization carried out in the framework of the reduced phase space of gauge theory. 
@article{TMF_1989_81_2_a3,
     author = {I. L. Buchbinder and S. L. Lyakhovich},
     title = {On~the coordinate representation in~the quantum theory of~gauge fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {193--202},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_2_a3/}
}
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I. L. Buchbinder; S. L. Lyakhovich. On~the coordinate representation in~the quantum theory of~gauge fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 2, pp. 193-202. http://geodesic.mathdoc.fr/item/TMF_1989_81_2_a3/