Abstract
A detailed Gitman–Lyakhovich–Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are reported. Moreover, our analysis presents a new structure into the constraints and we compare our results with those reported in the literature where a standard Ostrogradski framework was developed.
Highlights
In this manner, with all commented above, the purpose of the present work is to report a detailed GLT study of topologically massive gravity (TMG) theory
Our analysis presents a new structure into the constraints and we compare our results with those reported in the literature where a standard Ostrogradski framework was developed
We have presented a new alternative canonical analysis for TMG that extends those reported in the literature
Summary
With all commented above, the purpose of the present work is to report a detailed GLT study of TMG theory. Our analysis will follow a different procedure to that presented in [22]. We will develop a detailed GLT framework. The correct canonical analysis of a given classical theory is the first step towards its canonical quantization and so it is worthwhile to perform it. The complete structure of the constraints without fixing them by hand is reported. We will compare our results with those reported in the literature. 2 the GLT method for higher-order Chern–Simons theory is developed. We perform a detailed GLT formalism and the new structure of the constraints is reported. The Dirac brackets and the algebra of the constraints are calculated
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