Hamiltonian analysis of -constrained BF theory

In this paper we discuss the canonical analysis of -constrained BF theory. The action of this theory contains topological terms appended by a term that breaks the gauge symmetry down to the Lorentz subgroup . The equations of motion of this theory turn out to be the vacuum Einstein equations. By sol...

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Bibliographic Details
Published in:Classical and quantum gravity 2010-09, Vol.27 (18), p.185008-185008
Main Authors: Durka, R, Kowalski-Glikman, J
Format: Article
Language:English
Subjects:
Equations of motion
Gravitation
Invariants
Inverse
Mathematical analysis
Quantum gravity
Subgroups
Online Access:Get full text
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Summary:In this paper we discuss the canonical analysis of -constrained BF theory. The action of this theory contains topological terms appended by a term that breaks the gauge symmetry down to the Lorentz subgroup . The equations of motion of this theory turn out to be the vacuum Einstein equations. By solving the B field equations one finds that the action of this theory contains not only the standard Einstein--Cartan term but also the Holst term proportional to the inverse of the Immirzi parameter, as well as a combination of topological invariants. We show that the structure of the constraints of an -constrained BF theory is exactly that of gravity in the Holst formulation. We also briefly discuss the quantization of the theory.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/27/18/185008