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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

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PIRSA:12110051
Coarse graining: towards a cylindrically consistent dynamics
Speaker(s): Bianca Dittrich
Abstract: Cylindrical consistency is a concept that allows the embedding of configuration data supported on lattices of graphs into a continuum configuration space. Loop quantum gravity uses this  concept in order to construct the continuum kinematics  from a family of lattice theories.   Here we extend the concept of cylindrical consistency to the classical and quantum dynamics and argue that such a dynamics has to be constructed via a coarse graining process. Employing tensor network renormalization as a method of coarse graining will provide the embedding maps on which the notion of cylindrical consistency is based.     As an example we will discuss coarse graining of spin net models, which are lower dimensional analogue models of spin foams. The dynamics of spin foams is defined by so-called simplicity constraints and we will argue that the spin net models may already reveal the behaviour of these simplicity constraints under coarse graining.
Date: 27/11/2012 - 10:00 am
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