Chaotic inflation in models with flat directions

We consider the chaotic inflationary scenario in models with flat directions. We find that unless the scalars along the flat directions have vacuum expectation values 〈φ〉≲3M_por 10¹⁴M_p≲〈φ〉≲10¹⁵M_p depending on the expectation values of the chaotic inflator, Ψ, one or two or more periods of inflation occur but with a resulting energy density perturbation δρ{variant}/ρ{variant}{reversed tilde equals}10^-16, far too small to be of any consequence for galaxy formation. Even with 〈φ〉≲3-5 M_p only limited values of 〈Ψ〉{reversed tilde equals}(3-200)M_p result in inflation with reasonable density perturbations. Thus chaotic inflation in models with flat directions require rather special initial conditions.