Geodesic
Canonical analysis and quantization of three dimensional topologically massive gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 444-457 
I. L. Buchbinder; V. A. Krykhin; S. L. Lyakhovich. Canonical analysis and quantization of three dimensional topologically massive gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 444-457. http://geodesic.mathdoc.fr/item/TMF_1994_100_3_a10/
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     title = {Canonical analysis and quantization of three dimensional topologically massive gravity},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Constrained canonical formulation of three dimensional topologically massive gravity is constructed. All constraints and their algebra are found explicitly. The pure Chern–Simons gravity is discussed. The local measure in the functional integral is calculated and its role in cancellation of volume divergences is traced.

[1] Deser S., Jackiw R., Templeton S., Phys. Rev. Lett., 48 (1982), 975 | DOI

[2] Deser S., Yang Z., Class. Quant. Grav., 7 (1990), 1603 | DOI | MR

[3] Keszthebyi B., Kleppe G., Phys. Lett. B, 281 (1992), 33 | DOI | MR

[4] Deser S., Xiang X., Phys. Lett. B, 263 (1991), 39 | DOI | MR

[5] Gitman D. M., Lyakhovich S. L., Tyutin I. V., Izv. vuzov. Fizika, 1983, no. 8, 61 | MR

[6] Buchbinder I. L., Lyakhovich S. L., Class. Quant. Grav., 4 (1987), 1487 | DOI | MR

[7] Bukhbinder I. L., Lyakhovich S. L., TMF, 72:2 (1987), 204 | MR

[8] Buchbinder I. L., Karataeva I. Yu., Lyakhovich S. L., Class. Quant. Grav., 8 (1991), 1113 | DOI | MR

[9] Fradkin E. S., Vilkovisky G. A., Phys. Rev. D, 8 (1973), 4241 | DOI | MR

[10] Fradkin E. S., Vilkovisky G. A., Lett. Nuovo. Cim., 19:8 (1977), 47 | DOI

[11] Fradkin E. S., Vilkovisky G. A., Preprint of Institute for Theoretical Physics at Bern, october 1976

[12] Tikhonov A. N., Camarckii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl