A First Approach to Loop Quantum Gravity in the Momentum Representation
Issue: 2019 - Volume 21 [Issue 4]
W. F. Chagas-Filho *
Physics Department, Federal University of Sergipe, Brazil.
*Author to whom correspondence should be addressed.
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