Quark mass dependence of two-flavor QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, 6 figures. Revision adds discussion of robustness for the effective potential model

Scientific paper

10.1103/PhysRevD.83.016005

I explore the rich phase diagram of two-flavor QCD as a function of the quark masses. The theory involves three parameters, including one that is CP violating. As the masses vary, regions of both first and second order transitions are expected. For non-degenerate quarks, non-perturbative effects cease to be universal, leaving individual quark mass ratios with a renormalization scheme dependence. This raises complications in matching lattice results with perturbative schemes and demonstrates the tautology of attacking the strong CP problem via a vanishing up quark mass.

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