Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2016/06/043
Keywords
inflation; quantum gravity phenomenology
Funding
- University of Tehran
- STFC grants [ST/K00090X/1, ST/N000668/1]
- Science and Technology Facilities Council [ST/K00090X/1, ST/N000668/1] Funding Source: researchfish
- STFC [ST/K00090X/1, ST/N000668/1] Funding Source: UKRI
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Stochastic effects in multi-field inflationary scenarios are investigated. A hierarchy of diffusion equations is derived, the solutions of which yield moments of the numbers of inflationary e-folds. Solving the resulting partial differential equations in multi-dimensional field space is more challenging than the single-field case. A few tractable examples are discussed, which show that the number of fields is, in general, a critical parameter. When more than two fields are present for instance, the probability to explore arbitrarily large-field regions of the potential, otherwise inaccessible to single-field dynamics, becomes non-zero. In some configurations, this gives rise to an infinite mean number of e-folds, regardless of the initial conditions. Another difference with respect to single-field scenarios is that multi field stochastic effects can be large even at sub-Planckian energy. This opens interesting new possibilities for probing quantum effects in inflationary dynamics, since the moments of the numbers of e-folds can be used to calculate the distribution of primordial density perturbations in the stochastic-delta N formalism.
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