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Topological parameters in gravity

Topological parameters in gravity We present the Hamiltonian analysis of the theory of gravity based on a Lagrangian density containing the Hilbert-Palatini term along with three topological densities, Nieh-Yan, Pontryagin and Euler. The addition of these topological terms modifies the symplectic structure nontrivially. The resulting canonical theory develops a dependence on three parameters which are coefficients of these terms. In the time gauge, we obtain a real S U ( 2 ) gauge theoretic description with a set of seven first-class constraints corresponding to three S U ( 2 ) rotations, three spatial diffeomorphisms and one to evolution in a timelike direction. The inverse of the coefficient of the Nieh-Yan term, identified as the Barbero-Immirzi parameter, acts as the coupling constant of the gauge theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Topological parameters in gravity

Physical Review D , Volume 85 (2) – Jan 15, 2012
15 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2012 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.85.024026
Publisher site
See Article on Publisher Site

Abstract

We present the Hamiltonian analysis of the theory of gravity based on a Lagrangian density containing the Hilbert-Palatini term along with three topological densities, Nieh-Yan, Pontryagin and Euler. The addition of these topological terms modifies the symplectic structure nontrivially. The resulting canonical theory develops a dependence on three parameters which are coefficients of these terms. In the time gauge, we obtain a real S U ( 2 ) gauge theoretic description with a set of seven first-class constraints corresponding to three S U ( 2 ) rotations, three spatial diffeomorphisms and one to evolution in a timelike direction. The inverse of the coefficient of the Nieh-Yan term, identified as the Barbero-Immirzi parameter, acts as the coupling constant of the gauge theory.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jan 15, 2012

There are no references for this article.