RT Journal Article
T1 Coarse graining methods for spin net and spin foam models
A1 Dittrich, Bianca
A1 Eckert, Frank C.
A1 Martín Benito, Mercedes
AB 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 the Migdal–Kadanoff and tensor network renormalization (TNR) 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 TNR 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 the equivalence of certain models.
PB IOP Publishing
SN 1367-2630
YR 2012
FD 2012-03-16
LK https://hdl.handle.net/20.500.14352/98930
UL https://hdl.handle.net/20.500.14352/98930
LA eng
DS Docta Complutense
RD 15 sept 2024