I am working with RG and have a pretty good idea of how it works. However I have noticed that even though the idea of universality class is very general and makes it possible to classify critical systems, textbooks seem to always end up with the Ising model as an example. As a consequence my knowledge of other universality classes is very poor.
My question is simple: What other universality classes are there and what are their properties (in particular, the value of their critical exponents)?
I know that there are as many universality classes as there are RG fixed points and that my question can never be answered completely. A list of 4 or 5 (thermal equilibrium) universality classes that are well established and understood would however give me the feeling that there is more than Ising model out there.
I will of course very much welcome references to literature. The reviews that I know on RG usually focus on general aspects and give few examples.
This post imported from StackExchange Physics at 2014-10-09 19:55 (UTC), posted by SE-user Steven Mathey