Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-09-25
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTex, uses amssymb
Scientific paper
We examine consequences of the stabilization of the dilaton through the axion. An estimate of the resulting dilaton potential yields a relation between the axion parameter $m_a f_{PQ}$ and the average instanton radius, and predicts the ratio between the dilaton mass $m_\phi$ and the axion mass $m_a$. If we identify the string axion with a Peccei--Quinn axion, then $m_\phi m_{Pl} \sim m_a f_{PQ}$, and the dilaton should be strongly aligned $\sqrt{<\phi^2>}\leq 10^{-4}m_{Pl}$ at the QCD scale, in order not to overclose the universe.
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