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On the possibility of large axion decay constants

Tom Banks, Michael Dine, P J Fox and E Gorbatov

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The decay constant of the QCD axion is required by observation to be small compared with the Planck scale. In theories of `natural inflation' and certain proposed anthropic solutions of the cosmological constant problem it would be interesting to obtain a large decay constant for axion-like fields from microscopic physics. String theory is the only context in which one can sensibly address this question. Here we survey a number of periodic fields in string theory in a variety of string vacua. In some examples, the decay constant can be parametrically larger than the Planck scale but the effective action then contains appreciable harmonics of order fA/Mp. As a result, these fields are no better inflaton candidates than Planck scale axions.


Keywords

axions

inflation

string theory and cosmology

PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.25.-w Strings and branes

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

14.80.Mz Axions and other Nambu-Goldstone bosons (Majorons, familons, etc.)

11.30.Pb Supersymmetry

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 06 (June 2003)

Received 2 April 2003, accepted for publication 4 May 2003

Published 11 June 2003



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