Geodesic
Hamiltonian formalism for particles with a generalized rigidity
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 130-139 
A. P. Nersesyan. Hamiltonian formalism for particles with a generalized rigidity. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 130-139. http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a5/
@article{TMF_1998_117_1_a5,
     author = {A. P. Nersesyan},
     title = {Hamiltonian formalism for particles with a~generalized rigidity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {130--139},
     year = {1998},
     volume = {117},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a5/}
}
TY  - JOUR
AU  - A. P. Nersesyan
TI  - Hamiltonian formalism for particles with a generalized rigidity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 130
EP  - 139
VL  - 117
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a5/
LA  - ru
ID  - TMF_1998_117_1_a5
ER  - 
%0 Journal Article
%A A. P. Nersesyan
%T Hamiltonian formalism for particles with a generalized rigidity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 130-139
%V 117
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a5/
%G ru
%F TMF_1998_117_1_a5

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

The Hamiltonian formalism is developed for mechanical systems described by reparametrization-invariant Lagrangians dependent on the external curvatures of a world line. The complete sets of constraints are constructed for the Lagrangians quadratic in the external curvatures, the Lagrangians proportional to an arbitrary external curvature, and the Lagrangians linear in the first two curvatures.

[1] M. M. Postnikov, Lektsii po geometrii. Semestr III. Gladkie mnogoobraziya, Nauka, M., 1987 | MR | Zbl

[2] A. M. Polyakov, Nucl. Phys. B, 268 (1986), 406 ; Mod. Phys. Lett. A, 3 (1988), 112 | DOI | MR

[3] M. S. Plyushchay, Nucl. Phys. B, 362 (1991), 54 ; Yu. A. Kuznetsov, M. S. Plyushchay, Nucl. Phys. B, 389 (1993), 181 | DOI | MR | DOI | MR

[4] M. S. Plyushchay, Phys. Lett. B, 243 (1990), 383 | DOI | MR | Zbl

[5] M. S. Plyushchay, Phys. Lett. B, 253 (1991), 50 | DOI | MR

[6] A. A. Kapustnikov, A. Pashnev, A. Pichugin, Phys. Rev. D, 55 (1997), 2257 | DOI

[7] E. Ramos, J. Roca, Nucl. Phys. B, 436 (1995), 529 | DOI | MR | Zbl

[8] E. Ramos, J. Roca, Nucl. Phys. B, 452 (1995), 705 | DOI | MR | Zbl

[9] I. V. Tyutin, Chastnoe soobschenie, 1998

[10] E. Ramos, J. Roca, Nucl. Phys. B, 477 (1996), 606 | DOI | MR | Zbl

[11] V. D. Gershun, A. I. Pashnev, TMF, 73 (1987), 294 | MR

[12] A. P. Isaev, A. T. Filippov, Mod. Phys. Lett. A, 4 (1989), 2167 | DOI | MR

[13] A. Pashnev, M. Tsulaia, Description of the higher massless irreducible integer spins in the BRST approach, Preprint OIYaI E2-98-56, OIYaI, Dubna, 1998 ; E-print hep-th/9803207 | MR

[14] A. Pashnev, M. Tsulaia, In preparation