Family Symmetry, Gravity, and the Strong CP Problem

Abstract

We show how in a class of models Peccei--Quinn symmetry can be realized as an automatic consequence of a gauged $U(1)$ family symmetry. These models provide a solution to the strong CP problem either via a massless $u$--quark or via the DFSZ invisible axion. The local family symmetry protects against potentially large corrections to $\overline{\theta }$ induced by quantum gravitational effects. In a supersymmetric extension, the `$\mu$--problem' is shown to have a natural solution in the context of gravitationally induced operators. We also present a plausible mechanism which can explain the inter--generational mass hierarchy in such a context.

BA-92-79, 14 pages, in LaTeX, no figures

References in corpus (5)

• Planck-Scale Physics and the Peccei-Quinn Mechanism
• Solutions to the strong CP problem in a world with gravity
• Planck-Scale Physics and Neutrino Masses
• Of CP and other Gauge Symmetries in String Theory
• Are Textures Natural?

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