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primordial inflation is that of slow-roll Chaotic Inflation, with the potential 

From Section 4.3.2, the spectral index n$_{s}$ is given by 

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with ϵ being given by Eq. (4.22) and η$_{ψψ}$ being given by Eq. (4.21) and where both are to be evaluated at the point where cosmological scales exit the horizon during primordial inflation. The potential of Eq. (4.174) gives 

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