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Decided to post in 'beyond standard model' because lattice gauge theories are usually used to explore these models. Hope that's all right.

So in lattice simulations, phase transitions in beta mass plane seem to have an important meaning. I understand phase transitions from a mathematical stand point and its simple interpretations in Ising model, as ferromagnetic and paramagnetic phases. But whenever lattice is used to study QCD or QCD-like theories, this phase transition seems to acquire some importance that just isn't obvious to me. From context I can tell it's related to the model being confining or not, which I can more or less anticipate, seeing how beta is inversely proportional to the coupling constant, but that's as far as I go. Any help would be appreciated.