Lattice field theories and the continuum limit

[jfy4]

I have heard generally that it is possible to put different physical theories on a lattice and after renormalization get the same continuum theory. I mean, different lattice theories that lead to the same continuum theory. Is this true for, say, qcd, or other particle theories? Are there different varieties of lattice qcd that give the same continuum qcd theory? And if so, is it known how these lattice theories are related, besides their obvious shared macroscopic limit?

Thanks.

 

[The_Duck]

Yes, there are many different "lattice actions" for QCD that all give the same continuum limit. In renormalization group language, the different actions differ by irrelevant terms (terms down by powers of the lattice spacing) that vanish as the lattice spacing goes to zero.