QCD at Large $θ$ Angle and Axion Cosmology

Details QCD at Large $θ$ Angle and Axion Cosmology QCD at Large $θ$ Angle and Axion Cosmology

1996-08-29

arxiv.org/abs/hep-ph/9608490v1

Nucl.Phys. B494 (1997) 200-212

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX, 5 epsf figures

Scientific paper

10.1016/S0550-3213(97)00174-0

We use the chiral Lagrangian to investigate the global properties of the $N$-flavor QCD vacuum as a function of the $\theta$ parameter. In the case of exact quark degeneracy we find evidence for first order phase transitions at $\theta = \pi \cdot ({\rm odd~ integer})$. The first order transitions are smoothed by quark mass splittings, although interesting effects remain at realistic quark masses. We emphasize the role of the $\eta'$ condensate in our analysis. Finally, we discuss the implications of our results on the internal hadronic structure of axion domain walls and axion cosmology.

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