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.


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


How to Cite

Chagas-Filho, W. F. 2019. “A First Approach to Loop Quantum Gravity in the Momentum Representation”. Physical Science International Journal 21 (4):1-8. https://doi.org/10.9734/psij/2019/v21i430115.