English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

By introducing diffeomorphism and local Lorentz gauge invariant holonomyfields, 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 anddynamical equations satisfied by holonomy fields, we present in this Lettercalculations and discussions to show the phase structure of the quantumEinstein-Cartan gravity, (i) the order phase: long-range condensations ofholonomy fields in strong gauge couplings; (ii) the disorder phase: short-rangefluctuations of holonomy fields in weak gauge couplings. According to thecompetition of the activation energy of holonomy fields and their entropy, wegive a simple estimate of the possible ultra-violet critical point andcorrelation length for the second-order phase transition from the order phaseto disorder one. At this critical point, we discuss whether the continuum fieldtheory of quantum Einstein-Cartan gravity can be possibly approached when themacroscopic correlation length of holonomy field condensations is much largerthan the Planck length.

The phase and critical point of quantum Einstein-Cartan gravity