Physical Science International Journal

A First Approach to Loop Quantum Gravity in the Momentum Representation

W. F. Chagas-Filho *

Physics Department, Federal University of Sergipe, Brazil.

*Author to whom correspondence should be addressed.

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Abstract

We present a generalization of the first-order formalism used to describe the dynamics of a classical system. The generalization is then applied to the first-order action that describes General Relativity. As a result we obtain equations that can be interpreted as describing quantum gravity in the momentum representation.

Keywords: First-order formalism, Hamiltonian duality, General Relativity, Loop Quantum Gravity

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