abstract

• A pure Dirac%27s canonical analysis, defined in the full phase space for the Husain-Kuchar (HK) model is discussed in detail. This approach allows us to determine the extended action, the extended Hamiltonian, the complete constraint algebra and the gauge transformations for all variables that occur in the action principle. The complete set of constraints defined on the full phase space allow us to calculate the Dirac algebra structure of the theory and a local weighted measure for the path integral quantization method. Finally, we discuss briefly the necessary mathematical structure to perform the canonical quantization program within the framework of the loop quantum gravity approach. © 2013 World Scientific Publishing Company.
• A pure Dirac's canonical analysis, defined in the full phase space for the Husain-Kuchar (HK) model is discussed in detail. This approach allows us to determine the extended action, the extended Hamiltonian, the complete constraint algebra and the gauge transformations for all variables that occur in the action principle. The complete set of constraints defined on the full phase space allow us to calculate the Dirac algebra structure of the theory and a local weighted measure for the path integral quantization method. Finally, we discuss briefly the necessary mathematical structure to perform the canonical quantization program within the framework of the loop quantum gravity approach. © 2013 World Scientific Publishing Company.

authors

• Berra Montiel Oscar Jasel
• Escalante A.

publication date

• 2013-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: CB-2010/157641  Grant

published in

• International Journal of Geometric Methods in Modern Physics  Journal

keywords

• covariant theories; Hamiltonian dynamics

Digital Object Identifier (DOI)

• 10.1142/S0219887813500308

start page

end page

volume

• 10

issue

• 7