Non Polynomial Hamiltonian Constraint

[Quantizer]

1. Is the root(det(q)) term in the Hamiltonian Constraint what makes it non polynomial
2. Is the motivation for Ashtekar Variables to remove the non polynomial terms by replacing the Hamiltonian with a densitised Hamiltonian

 

[Matterwave]

I suggest you try the "Beyond the standard model" forum for questions regarding loop quantum gravity.