Axions and inflation: String formation during inflation

Details Axions and inflation: String formation during inflation Axions and inflation: String formation during inflation

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46..532l&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 2, 15 July 1992, pp.532-538

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39

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

Scientific paper

The Peccei-Quinn field ψ=reiθ/ √2 has a Mexican hat potential 1/4λ(r2-f2a)2, and the axion, with the field faθ, is its Nambu-Goldstone boson. During inflation there is a quantum fluctuation in both the radial component r and in the angle θ. If the temperature after inflation is less than fa, the fluctuation survives, and may be cosmologically significant. Previous investigations of this ``inflationary scenario'' assumed that r sits in the vacuum, leaving only the angular fluctuation. Here both fluctuations are kept, using the Langevin and Fokker-Planck equations. It is found that for fa in the usually accepted range fa<~1013 GeV, the radial fluctuation is typically big enough to take ψ over the top of the potential. In that case, strings are produced, which invalidate previous treatments of the inflationary scenario.

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