Planck-scale corrections to axion models

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Particle-Theory And Field-Theory Models Of The Early Universe, Charge Conjugation, Parity, Time Reversal, And Other Discrete Symmetries, Elementary Particle Processes

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It has been argued that quantum gravitational effects will violate all nonlocal symmetries. Peccei-Quinn symmetries must therefore be an ``accidental'' or automatic consequence of local gauge symmetry. Moreover, higher-dimensional operators suppressed by powers of MPl are expected to explicitly violate the Peccei-Quinn symmetry. Unless these operators are of dimension d>=10, axion models do not solve the strong CP problem in a natural fashion. A small gravitationally induced contribution to the axion mass has little if any effect on the density of relic axions. If d=10, 11, or 12 these operators can solve the axion domain-wall problem, and we describe a simple class of Kim-Shifman-Vainshtein-Zakharov axion models where this occurs. We also study the astrophysics and cosmology of ``heavy axions'' in models where 5<=d<=10.

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