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QUANTUM REDUCED LOOP GRAVITY: STATUS AND PERSPECTIVES Francesco - - PowerPoint PPT Presentation
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 Wrocaw, Poland Experimental Search for Quantum Gravity in collaboration SISSA Trieste, 3 rd September 2014 with E.
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Alesci, FC, Rovelli
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and assuming
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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
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Improvements: work in progress
We can improve our calculation scheme and evaluate the semiclassical limit
- f 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).
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By peaking around a homogeneous configuration one gets: where we assumed # nodes within fiducial volume
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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.
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