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  Exact Beta Functions in Statistical Mechanics

+ 5 like - 0 dislike
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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.

This post imported from StackExchange Physics at 2014-08-11 14:59 (UCT), posted by SE-user MrLee
asked Feb 13, 2013 in Theoretical Physics by MrLee (45 points) [ no revision ]
retagged Aug 11, 2014
The Ising model in one and two dimensions...?

This post imported from StackExchange Physics at 2014-08-11 14:59 (UCT), posted by SE-user Michael Brown
commented Feb 13, 2013 by Michael Brown (115 points) [ no revision ]
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

This post imported from StackExchange Physics at 2014-08-11 14:59 (UCT), posted by SE-user MrLee
commented Feb 13, 2013 by MrLee (45 points) [ no revision ]
Okay. :) I would also be interested in a non-standard example...

This post imported from StackExchange Physics at 2014-08-11 14:59 (UCT), posted by SE-user Michael Brown
commented Feb 13, 2013 by Michael Brown (115 points) [ no revision ]
If you're not aware of it, you must check out Baxter's book!

This post imported from StackExchange Physics at 2014-08-11 14:59 (UCT), posted by SE-user Douglas B. Staple
commented Apr 19, 2013 by Douglas B. Staple (0 points) [ no revision ]

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