Poisson brackets of the constraints in unified field theory
Annales de l'I.H.P. Physique théorique, Volume 7 (1967) no. 4, p. 319-331
@article{AIHPA_1967__7_4_319_0,
     author = {Droz-Vincent, Philippe},
     title = {Poisson brackets of the constraints in unified field theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {7},
     number = {4},
     year = {1967},
     pages = {319-331},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1967__7_4_319_0}
}
Droz-Vincent, Philippe H. Poisson brackets of the constraints in unified field theory. Annales de l'I.H.P. Physique théorique, Volume 7 (1967) no. 4, pp. 319-331. http://www.numdam.org/item/AIHPA_1967__7_4_319_0/

[1] Philippe H. Droz-Vincent, Contribution à la quantification des théories relativistes de l'Électromagnétisme et de la Gravitation. Cahier de Phys., t. 18, n° 170, oct. 1964, p. 369-405.

[2] Stanley Deser and R. Arnowitt, Quantum theory of gravitation: General formulation and linearized theory. Phys. Rev., t. 113, 1959, p. 745. | MR 101114 | Zbl 0083.43201

[3] R. Arnowitt, S. Deser and C.W. Misner, in Recent advances in Relativity, J. Wiley, editor, New York, 1963.

[4] Albert Einstein, A generalization of the relativistic theory of gravitation. Ann. Math. Princeton, t. 46, 1945, p. 578 and t. 47, 1945, p. 146 and 731. In equation (2), Dρ means covariant derivation defined by the affinity Lμανυ=Γμαν + 2/3 δμαΓνAbout + and - derivations we just follow Einstein's notations. | MR 14296 | Zbl 0060.44113

[7] J.L. Anderson and P.G. Bergmann, Constraints in covariant field theories. Phys. Rev., t. 83, 1951, p. 1018. | MR 44382 | Zbl 0045.45505

P.G. Bergmann, Non linear field theories. Phys. Rev., t. 75, 1949, p. 680. | MR 28128 | Zbl 0039.23004

P.G. Bergmann and J.H.M. Brunings, Non linear field theories, II. Canonical equations and quantization. Rev. Mod. Phys., t. 21, 1949, p. 480. | MR 32487 | Zbl 0041.57306

[8] P.A.M. Dirac, Canad. Journ. of Math., t. 2, 1950, p. 129; t. 3, 1951, p. 1. Proc. Roy. Soc. A, t. 246, 1958, p. 333. | Zbl 0036.14104

[9] B.S. De Witt and R.W. Brehme, Ann. of Phys., t. 9, 1960, p. 220. | Zbl 0092.45003

[10] A. Lichnerowicz, Propagateurs et commutateurs en Relativité générale. Publications Mathématiques de l'Institut des Hautes Études Scientifiques, Paris, n° 10, 1961. | Numdam | MR 158726 | Zbl 0098.42607