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- Coarse graining: towards a cylindrically consistent dynamics

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.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, November 27, 2012 - 10:00 to 11:30

Location:

Matter Room

©2012 Perimeter Institute for Theoretical Physics