Review of the Chiral Phase Transition

Physics

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Scientific paper

I give a pedagogical review of the chiral phase transition. I show how for a single flavor, one obtains first and second order phase transitions in an elementary mean field approximation. Including nonzero (current) quark masses, one can understand qualitatively the nature of the phase diagram in QCD at nonzero temperature, as lines of first order transitions terminating in critical end points. For two flavors, I first assume the breaking of axial U(1) symmetry is large at all temperatures. I then assume that the axial U(1) is approximately restored before the full chiral symmetry is. If sufficiently strong, such approximate restoration of axial U(1) could produce two notable effects: metastable CP-odd bubbles, and isospin violation, from the up and down quark mass differences.

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