Quantitative analysis of the thermal damping of coherent axion oscillations

Physics

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Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Unruh and Wald have recently discussed a new mechanism for damping coherent axion oscillations, ``thermal damping,'' which occurs due to the temperature dependence of the axion mass and neutrino viscosity. We investigate the effect quantitatively and find that the present energy density in axions can be written as ρa=ρa0/(1+JUW), where ρa0 is what the axion energy density would be in the absence of the thermal-damping effect and JUW is an integral whose integrand depends upon (dma/dT)2. As a function of fPQ (≡Peccei-Quinn symmetry-breaking scale) JUW achieves its maximum value for fPQ~=3×1012 GeV; unless the axion mass turn-on is very sudden, ||(T/ma)(dma/dT)||>>1, JUW is <<1, implying that this damping mechanism is not significant.

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