Undergrad Dirac quantization of gravity e.g. GR in Ashtekar Variables

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Dirac quantization of gravity, particularly when using Ashtekar variables, is discussed as a potential approach to quantum gravity, despite the absence of a complete nonperturbative quantization of Yang-Mills gauge theories in 4D. The conversation emphasizes that while this method may not yield the final theory of quantum gravity, it could serve as an effective theory that approximates future developments. The possibility of formulating a classical theory of gravity that reproduces general relativity (GR) while being amenable to Dirac quantization is highlighted as a key consideration. This approach could apply to various classical gravity theories, from Nordström to supergravity (SUGRA). Overall, the discussion suggests that exploring Dirac quantization within a suitable framework could enhance our understanding of quantum gravity.
kodama
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I'd like this issue clarified

I understand that a full nonpertubative quantization of a yang mills gauge theory in 4D is unavailable.

is Dirac quantization of classical theory of gravity e.g GR rewritten Ashtekar Variables

Variables or some variation of the idea, a viable approach to a theory of quantum gravity, one that can be used to make useful physical predictions and as a tool to understanding quantum gravity.

it may not be the final theory of QG but it can still be a useful effective theory, one that approximates full nonpertubative quantization when that becomes available.

GR isn't the only possible classical theory of gravity. Dirac quantization of classical theory of any theory of gravity so long as it reproduces GR, i.e Nordstrom to SUGRA

perhaps what is needed is a classical theory of gravity that reproduces GR, but is written and formulated in a way that lends itself to be easily quantized via Dirac quantization

is a Dirac quantization of a classical theory of gravity, GR, GR rewritten in
Ashtekar Variables or some classical theory of gravity that reprodouces GR a viable approach to a useful theory of quantum gravity

theory of classical gravity that reproduces GR, but lends itself well to a successful Dirac quantization as an approach to nonpertubative quantum gravity.
 
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For a start, you could put a question mark "?" here and there. A capital letter at the beginning of a sentence would also help.
 
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