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Paper IPM / Physic / 12185  


Abstract:  
We observe that the dominant one loop contribution to the graviton propagator in the theory of N (N >> 1) light scalar fields ϕ_{a} (with masses smaller than \mpl/√N) minimally coupled to Einstein gravity is proportional to N while that of gravitonscalarscalar interaction vertex is N independent. We use this to argue that the coefficient of Rϕ_{a}^{2} term appearing at one loop level is 1/N suppressed. This observation provides a resolution to the ηproblem, that the slowroll parameter η receives order one quantum loop corrections for inflationary models built within the framework of scalar fields minimally coupled to Einstein gravity, for models involving large number of fields. As particular examples, we employ this to argue in favor of the absence of ηproblem in Mflation and Nflation scenarios.
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