Complex Ashtekar variables and reality conditions for Holst's action

Details Complex Ashtekar variables and reality conditions for Holst's action Complex Ashtekar variables and reality conditions for Holst's action

2010-12-08

arxiv.org/abs/1012.1738v2

Annales H. Poincar\'e (2011), 1-24

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 2 pictures

Scientific paper

10.1007/s00023-011-0134-z

From the Holst action in terms of complex valued Ashtekar variables additional reality conditions mimicking the linear simplicity constraints of spin foam gravity are found. In quantum theory with the results of You and Rovelli we are able to implement these constraints weakly, that is in the sense of Gupta and Bleuler. The resulting kinematical Hilbert space matches the original one of loop quantum gravity, that is for real valued Ashtekar connection. Our result perfectly fit with recent developments of Rovelli and Speziale concerning Lorentz covariance within spin-form gravity.

Affiliated with

Also associated with

No associations

Rating

Complex Ashtekar variables and reality conditions for Holst's action does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complex Ashtekar variables and reality conditions for Holst's action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex Ashtekar variables and reality conditions for Holst's action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558485