The discussion centers on the canonical quantization of Ashtekar's new variables within the context of loop quantum gravity. It is established that loop quantum gravity does not directly quantize Ashtekar variables; rather, these variables serve as a foundational step in developing quantized variables for loop quantum gravity. The conversation highlights the absence of a direct method for quantizing Ashtekar variables, emphasizing their historical significance rather than their novelty.
PREREQUISITESThe discussion is beneficial for theoretical physicists, researchers in quantum gravity, and students studying advanced topics in quantum mechanics and general relativity.
Is Loop quantum gravity canonical quantization of Ashtekar's new variablesThis year I’m hoping to integrate ideas about “quantization” into the course more than in the past, starting off with the mathematics behind what physicists often call “canonical quantization”. This topic is worked out very explicitly and in great detail in this book-
Spring Course
Posted on January 10, 2023 by woit
Demystifier said:Loop quantum gravity is not exactly a quantization of Ashtekar variables. Instead, Ashtekar variables are an important step towards construction of variables that are quantized in loop quantum gravity. As far as I know, there is no direct quantization of Ashtekar variables. And finally, those variables are no longer "new".
is quantization of Ashtekar variables possible and would be a
quantum gravity