QUANTUM REDUCED LOOP GRAVITY: STATUS AND PERSPECTIVES Francesco - PowerPoint PPT Presentation

QUANTUM REDUCED LOOP GRAVITY: STATUS AND PERSPECTIVES Francesco Cianfrani , Institute of Theoretical Physics, University of Wrocław, Poland Experimental Search for Quantum Gravity in collaboration SISSA Trieste, 3 rd September 2014 with E. Alesci

Alesci, FC, Rovelli

and assuming

and it fixies a fundamental correspondece between the effective semiclassical description of QRLG and the quantum dynamics of LQC (as in GFT). Gielen, Oriti, Sindoni, Calcagni

Improvements: work in progress We can improve our calculation scheme and evaluate the semiclassical limit of the euclidean scalar constraint in the (more realistic) case of a six- valence node . The final result at each node is just the sum of the three-valence one over all the possible permutations of links, while ε's coincide now with the lattice spacing (no dressing).

By peaking around a homogeneous configuration one gets: where we assumed # nodes within fiducial volume

The parameters ε's and δ's are semiclassical parameters: they enter the definition of semiclassical states, ε being the length of the links of the additional plaquette, δ the area of the surfaces across which fluxes are defined. The choice of δ=δ(p) determines the regularization scheme adopted in the corresponding LQC scenario.