On the Hamiltonian formalism of the tetrad-gravity with fermions
| Autor: | M. Lagraa, M. H. Lagraa |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics Gravity (chemistry) Fermionic field Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Lorentz transformation Dirac (software) FOS: Physical sciences Canonical transformation General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake High Energy Physics - Theory (hep-th) Phase space 0103 physical sciences symbols Quantum gravity Canonical form 010306 general physics Mathematical Physics Mathematical physics |
| Zdroj: | General Relativity and Gravitation. 50 |
| ISSN: | 1572-9532 0001-7701 |
| Popis: | We extend the analysis of the Hamiltonian formalism of the d-dimensional tetrad-connection gravity to the fermionic field by fixing the non-dynamic part of the spatial connection to zero. Although the reduced phase space is equipped with complicated Dirac brackets, the first-class constraints which generate the diffeomorphisms and the Lorentz transformations satisfy a closed algebra with structural constants analogous to that of the pure gravity. We also show the existence of a canonical transformation leading to a new reduced phase space equipped with Dirac brackets having a canonical form leading to the same algebra of the first-class constraints. Comment: 29 pages, improved version, references added. version accepted for publication in General Relativity and Gravitation |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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