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I'm looking for analytically solvable models in statistical mechanics (classical or quantum) or related areas such as solid state physics in which the beta function for a certain renormalization procedure (preferably but not necessarily real space normalization) is exactly known.

I'm looking forward to your responses.

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The Ising model in one and two dimensions...? –  Michael Brown Feb 13 '13 at 11:41
    
Okay:) That's certainly true. Though I would be happy to find a non-standard example that also has a phase transition (not like Ising 1D) at some point in parameter space –  MrLee Feb 13 '13 at 13:45
    
Okay. :) I would also be interested in a non-standard example... –  Michael Brown Feb 13 '13 at 14:32
    
If you're not aware of it, you must check out Baxter's book! –  Douglas B. Staple Apr 19 '13 at 17:54
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