What Are the Insights of 2D Physics and Loop Variables in Loop Quantum Gravity?

[ontogen]

I'm looking for some simple articles on 2D physics, Wilson loops, loop variables and similar. The purpose is to gain insights in LQG using lower dimensions.

Thanks for your help

 

[Demystifier]

Do you mean 1+1 or 2+1 spacetime dimensions?

 

[ontogen]

1+1 or 2+1. My focus is more on simplicity (i.e. manageable examples of loop technology) rather than a particular spacetime. If a toroidal space would make everything more simple then I'd be happy, if it's more a 2D lattice I'd consider that.
Maybe I could rephrase it as: is there a toy-model to play with rather than the full 4D spacetime?

 

[Demystifier]

You may start with the Carlip's review
http://xxx.lanl.gov/abs/gr-qc/9503024
especially Sec. 3.4.2
Carlip also has a book on 2+1 gravity.

 

[ontogen]

The article is rather compact but the references therein are certainly useful. Thank you for your help!