Stochastic Inflation and Dimensional Reduction

We present a replica field-theoretic approach to stochastic inflation in which a manifestation of dimensional reduction is found. The scale above which the latter dominates grows exponentially fast with time and thus affects largest super-horizon scales. We find inevitable modifications of the spectral index on those scales. An explicit relation between the noise correlator and the non-gaussianity parameter f_NL is found.

98.80.Cq
05.10.Gg
04.62.+v
inflation: stochastic
correlation: short-range
correlation: long-range
power spectrum
dimensional reduction
propagator
non-Gaussianity

References(19)

Figures(0)

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