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I am looking for references to exactly solvable models in 2-dimensional (lattice or continuum) quantum field theory that exhibit both phases with broken and with unbroken symmetry, so that one can study their phase transition analytically.
I read the claim that 2D massless Thirring model is exactly solvable. But I don't know if there is a phase transition... you probably know better than me on the subject.
Massless QFTs are typically conformal field theories and in 2D many of these are exactly solvable in some limited sense, among them Thirring's model - for which all vacuum n-point functions are known. I am specifically interested in the question of phase transition.
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