Non Polynomial Hamiltonian Constraint

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

Thread 'Schrödinger equation and classical wave equation'

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Thread 'Is Maxwell's electromagnetism an effective (field) theory?'

Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...
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