Quantum algebra of the Hamiltonian constraint in reduced four-dimensional gravity

Abstract

In this paper we demonstrate closure of the quantum algebra of Hamiltonian constraints in a theory directly related to a certain sector of general relativity reduced to diagonal variables.

8 pages

References in corpus (3)

• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• The quantization of unimodular gravity and the cosmological constant problem
• Renormalizable Non-Metric Quantum Gravity?

Cited by in corpus (5)

• Finite states in four dimensional quantized gravity
• Generalized Kodama partition functions: A preview into normalizability for the generalized Kodama states
• Instanton representation of Plebanski gravity XX. Minisuperspace quantization of gravity coupled to the Klein--Gordon scalar field
• Nonlinear gravitons from the initial value constraints of GR in Ashtekar variables
• Instanton representation of Plebanski gravity. Application to Bianchi Type A metrics