Quark mass dependence of two-flavor QCD

Abstract

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.

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

References in corpus (8)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Dynamical Twisted Mass Fermions with Light Quarks
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• Precise charm to strange mass ratio and light quark masses from full lattice QCD
• Quark Masses and Chiral Symmetry
• Spontaneous violation of CP symmetry in the strong interactions
• Ambiguities in the up quark mass
• Anomalies and chiral symmetry in QCD

Cited by in corpus (6)

• Magnetic Fields from QCD Phase Transitions
• Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature
• Confinement, chiral symmetry, and the lattice
• Quark masses, the Dashen phase, and gauge field topology
• $N_f=1+2$ mass dependence of the topological susceptibility
• QCD beyond diagrams