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Covariant canonical formalism for gravity

Journal Article · · Ann. Phys. (N.Y.); (United States)
We continue the previous discussion (A. D'Adda, J. E. Nelson, and T. Regge, Ann. Phys. (N.Y.) 165) of the covariant canonical formalism for the group manifold and relate it to the standard canonical vierbein formalism as pioneered by Dirac. The form bracket is related to the Poisson bracket of classical mechanics. We utilise systematically the calculus of differential forms and a compound notation which labels Poincare multiplets. In this way we obtain a particularly clear and compact expression for the Hamiltonian and the constraints algebra of the vierbein formalism.
Research Organization:
Istituto di Fisica Teorica dell'Universita di Torino, Isituto Nazionale di Fisica Nucleare, Sezione di Torino, 10125 Torino, Italy
OSTI ID:
6093566
Journal Information:
Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 166:1; ISSN APNYA
Country of Publication:
United States
Language:
English

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