QCD and the eta prime Mass: Instantons or Confinement?

Details QCD and the eta prime Mass: Instantons or Confinement? QCD and the eta prime Mass: Instantons or Confinement?

2002-11-21

arxiv.org/abs/hep-lat/0211035v1

Phys.Rev. D67 (2003) 074502

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 2 figures

Scientific paper

10.1103/PhysRevD.67.074502

We argue that lattice calculations of the $\eta'$ mass in QCD with $N_c=2$ colors performed at non-zero baryon chemical potential can be used to study the mechanism responsible for the mass of the $\eta'$. QCD with two colors is an ideal laboratory because it exhibits confinement, chiral symmetry breaking and a would-be $U(1)_A$ Goldstone boson at all densities. Since the instanton density and the confinement scale vary with density in a very different way, instantons are clearly distinguishable from other possible mechanisms. There is an instanton prediction for the $\eta'$ mass at large density that can be compared to lattice results. The density dependence of the instanton contribution is a simple consequence of the integer topological charge carried by the instanton. We also argue that $N_c=3$ color QCD at finite isospin density can be used in order to study the origin of OZI-violation in the scalar sector.

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