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The spin fluctuations in the normal state of the unconventional superconductor Sr2RuO4 have been studied using inelastic neutron scattering with polarization analysis on single crystals. We find that the spin fluctuations are anisotropic with chi_c/chi_ab=2.0 (0.4). No evidence for Q-independent or nearly-ferromagnetic spin fluctuations are found in the energy range 4-22 meV, in contradiction with NMR measurements.

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