Coarse graining of spin net models: dynamics of intertwiners

Dittrich, Bianca; Martín Benito, Mercedes; Schnetter, Erik

Coarse graining of spin net models: dynamics of intertwiners

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Dittrich_2013_New_J._Phys._15_103004.pdf (921.89 KB)

Official URL

https://iopscience.iop.org/article/10.1088/1367-2630/15/10/103004

Publication date

2013

Authors

Dittrich, Bianca

Martín Benito, Mercedes

Schnetter, Erik

Publisher

IOP Publishing

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URI

https://hdl.handle.net/20.500.14352/98920

Abstract

Spin foams are models of quantum gravity and therefore quantum space time. A key open issue is to determine the possible continuum phases of these models. Progress on this issue has been prohibited by the complexity of the full four-dimensional models. We consider here simplified analogue models, so called spin nets, that retain the main dynamical ingredient of spin foams, the simplicity constraints. For a certain class of these spin net models we determine the phase diagram and therefore the continuum phases via a coarse graining procedure based on tensor network renormalization. This procedure will also reveal an unexpected fixed point, which turns out to define a new triangulation invariant vertex model. © IOP Publishing and Deutsche Physikalische Gesellschaft.