Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-03
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 7 figures, the version to appear in Phys. Lett. B. We have clarified that Eqs. (E.5) and (E.6) of Phys. Rev. D82 (20
Scientific paper
By introducing diffeomorphism and local Lorentz gauge invariant holonomy fields, we study in the recent article [S.-S. Xue, Phys. Rev. D82 (2010) 064039] the quantum Einstein-Cartan gravity in the framework of Regge calculus. On the basis of strong coupling expansion, mean-field approximation and dynamical equations satisfied by holonomy fields, we present in this Letter calculations and discussions to show the phase structure of the quantum Einstein-Cartan gravity, (i) the order phase: long-range condensations of holonomy fields in strong gauge couplings; (ii) the disorder phase: short-range fluctuations of holonomy fields in weak gauge couplings. According to the competition of the activation energy of holonomy fields and their entropy, we give a simple estimate of the possible ultra-violet critical point and correlation length for the second-order phase transition from the order phase to disorder one. At this critical point, we discuss whether the continuum field theory of quantum Einstein-Cartan gravity can be possibly approached when the macroscopic correlation length of holonomy field condensations is much larger than the Planck length.
No associations
LandOfFree
The phase and critical point of quantum Einstein-Cartan gravity 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 The phase and critical point of quantum Einstein-Cartan gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The phase and critical point of quantum Einstein-Cartan gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-698790