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We show that flat spectrum of small perturbations of field(s) is generated in a simple way in a theory of multi-component scalar field provided this theory is conformally invariant, it has some global symmetry and the quartic potential is negative.We suggest a mechanism of converting these field perturbations into adiabatic scalar perturbations with flat spectrum.
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Валерий Анатольевич Рубаков (2009) studied this question.
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