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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Several approaches to the dynamics of loop quantum gravity involvediscretizing the equations of motion. The resulting discrete theories are knownto be problematic since the first class algebra of constraints of the continuumtheory becomes second class upon discretization. If one treats the second classconstraints properly, the resulting theories have very different dynamics andnumber of degrees of freedom than those of the continuum theory. It istherefore questionable how these theories could be considered a starting pointfor quantization and the definition of a continuum theory through a continuumlimit. We show explicitly in a model that the {\em uniform discretizations}approach to the quantization of constrained systems overcomes thesedifficulties. We consider here a simple diffeomorphism invariant onedimensional model and complete the quantization using {\em uniformdiscretizations}. The model can be viewed as a spherically symmetric reductionof the well known Husain--Kucha\v{r} model of diffeomorphism invariant theory.We show that the correct quantum continuum limit can be satisfactorilyconstructed for this model. This opens the possibility of treating 1+1dimensional dynamical situations of great interest in quantum gravity takinginto account the full dynamics of the theory and preserving the space-timecovariance at a quantum level.

Emergent diffeomorphism invariance in a discrete loop quantum gravity model