@article{AIHPA_1983__39_2_193_0,
author = {Maharana, J.},
title = {The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {193--209},
publisher = {Gauthier-Villars},
volume = {39},
number = {2},
year = {1983},
mrnumber = {722685},
zbl = {0518.58021},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1983__39_2_193_0/}
}
TY - JOUR AU - Maharana, J. TI - The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism JO - Annales de l'I.H.P. Physique théorique PY - 1983 SP - 193 EP - 209 VL - 39 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1983__39_2_193_0/ LA - en ID - AIHPA_1983__39_2_193_0 ER -
%0 Journal Article %A Maharana, J. %T The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism %J Annales de l'I.H.P. Physique théorique %D 1983 %P 193-209 %V 39 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1983__39_2_193_0/ %G en %F AIHPA_1983__39_2_193_0
Maharana, J. The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) no. 2, pp. 193-209. http://archive.numdam.org/item/AIHPA_1983__39_2_193_0/
[1] , Commun. Math. Phys., t. 46, 1976, p. 206. | MR | Zbl
and , JEPT Lett., t. 22, 1975, p. 245.
, Nucl. Phys., t. B 146, 1978, p. 215, and t. B 155, 1979, p. 544.
[2] and , Nucl. Phys., t. B 137, 1978, p. 46. | MR
, , and , Phys. Lett., t. 82 B, 1979, p. 442.
, Phys. Lett., t. 87 B, 1979, p. 233.
, Phys. Rev., t. D 21, 1980, p. 406. | MR
and , Phys. Lett., t. 88 B, 1979, p. 273.
and , Phys. Rev., t. D 21, 1980, p. 3462. | MR
[3] , Phys. Lett., t. 82 B, 1979, p. 247. Nucl. Phys., t. B 164, 1980, p. 1971.
[4] , Talk presented at International School of Subnuclear Physics, Erice, 1980.
, , , Phys. Rev., t. D 25, 1982, p. 1086, and references therein.
[5] , Phys. Rev. Lett., t. 47, 1981, p. 1371, and Phys. Lett., t. 113 B, 1982, p. 387. | MR
, and , Phys. Rev., t. D 24, 1980, p. 2238.
[6] , Can. J. Math., t. 2, 1950, p. 129. | MR | Zbl
, Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University, New York, 1969.
An excellent introduction to Dirac formalism can be found in and , Classical dynamics : a modern perspective, Wiley-Interscience, New York, 1974. | Zbl
, and , Constraint Hamiltonian system, Accademia Nazionale dei Lincei, Rome, 1976.
, Theor. Math. Phys., t. 1, 1970, p. 1.
For application to gauge theories, see , Introduction to the quantization of general gauge theories, Göteborg preprint, 1981.
[7] , Phys. Lett., t. 55 B, 1975, p. 224. | Zbl
and , Phys. Lett., t. 69 B, 1977, p. 309.
, Phys. Rev. Lett., t. 38, 1977, p. 1106. | MR
and , Phys. Lett., t. 72 B, 1978, p. 343.
and , Phys. Lett., t. 72 B, 1978, p. 70. | Zbl
, Phys. Lett., t. 99 B, 1981, p. 467, and op. cit. in Ref. 6. | MR
, Ann. Phys., t. 100, 1976, p. 227.
[8] and , Nucl. Phys., t. B 156, 1979, p. 381. | MR
, and , Nucl. Phys., t. B 165, 1980, p. 528.
and , Phys. Lett., t. 82 B, 1979, p. 251.
, Phys. Lett., t. 82 B, 1979, p. 239.
, Phys. Rev., t. D 20, 1979, p. 3358.
[9] et al., op. cit. in Ref. 8.
[10] Application of Hamiltonian formalism to the CPn-1 model can be found in , and , Nucl. Phys., t. B 172, 1980, p. 458. Constraint formalism has been applied to the CPn-1 model by and , Canonical structure of the CPn-12 model in some non-covariant gauges, Stony Brook preprint, 1981.
[11] and , Dortmund preprint DO-TH 82/05, and references therein.
[12] op. cit. in Refs. 6 and 7.
, preprint CERN TH. 2424, December 1977 (unpublished).
[13] , Nucl. Phys., t. B 135, 1978, p. 1.
[14] and , Phys. Lett., t. 91 B, 1980, p. 392. | MR
, and , Phys. Rev., t. D 23, 1981, p. 1800.
[15] , Saclay preprint DPh, 1978, p. 78-48, (unpublished).
[16] , Phys. Rev., t. D 24, 1981, p. 926.
[17] For Dirac bracket structure of supersymmetric CPn-1 model, see , Nucl. Phys., t. B 169, 1980, p. 430.
