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Free keywords:
General Relativity and Quantum Cosmology, gr-qc, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,High Energy Physics - Lattice, hep-lat,Quantum Physics, quant-ph
Abstract:
We undertake first steps in making a class of discrete models of quantum
gravity, spin foams, accessible to a large scale analysis by numerical and
computational methods. In particular, we apply Migdal-Kadanoff and Tensor
Network Renormalization schemes to spin net and spin foam models based on
finite Abelian groups and introduce `cutoff models' to probe the fate of gauge
symmetries under various such approximated renormalization group flows. For the
Tensor Network Renormalization analysis, a new Gauss constraint preserving
algorithm is introduced to improve numerical stability and aid physical
interpretation. We also describe the fixed point structure and establish an
equivalence of certain models.
