Second quantization in ashtekar variable

[luxxio]

I am searching material in second quantization in ashtekar-like formulation gravity.
Somebody knows something like that?
thanks

 

[Demystifier]

Are you familiar with loop quantum gravity? If not, this is probably what you should search instead.

 

[luxxio]

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?

 

[M-tron]

Check out Eyo Ita's use of Ashketar Variables in the Kodoma State for a solution to quantum gravity:

http://www.perimeterinstitute.ca/in...ent&task=view&id=50&Itemid=83&lecture_id=7116

http://arxiv.org/find/gr-qc/1/au:+Ita_E/0/1/0/all/0/1

 

[Demystifier]

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.