Second quantization in ashtekar variable

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Discussion Overview

The discussion revolves around the topic of second quantization in the context of Ashtekar variables and their application in quantum gravity, particularly in relation to loop quantum gravity (LQG). Participants explore the theoretical framework and seek resources or clarifications on the subject.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about materials related to second quantization in Ashtekar-like formulations of gravity.
  • Another participant suggests that familiarity with loop quantum gravity (LQG) is essential for understanding the topic.
  • A participant questions whether LQG can be classified as a first quantization theory.
  • One participant references Eyo Ita's work on Ashtekar variables and the Kodama state as a potential resource for solutions to quantum gravity.
  • There is a claim that LQG is a quantum field theory rather than a first quantization theory, noting that it does not incorporate gravitons and should be viewed as a first quantization of gravitational fields.

Areas of Agreement / Disagreement

Participants express differing views on the classification of loop quantum gravity, with some asserting it is a first quantization theory while others argue it is a quantum field theory. The discussion remains unresolved regarding the nature of LQG and its relation to second quantization.

Contextual Notes

There are limitations in the discussion regarding the definitions of first and second quantization, as well as the assumptions underlying the classification of LQG. These aspects remain unresolved.

luxxio
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I am searching material in second quantization in ashtekar-like formulation gravity.
Somebody knows something like that?
thanks
 
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Are you familiar with loop quantum gravity? If not, this is probably what you should search instead.
 
Demystifier said:
Are you familiar with loop quantum gravity? If not, this is probably what you should search instead.
what i can understand is that lqg is a first quantization theory, isn't it?
 
luxxio said:
what i can understand is that lqg is a first quantization theory, isn't it?
No, it is a quantum field theory. However, this method of quantization does not contain a notion of gravitons, so you may say that this quantum field theory cannot be viewed as a second quantization of gravitons, but only as a first quantization of gravitational fields.
 

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