Cosmological perturbations and short distance physics from Noncommutative Geometry

Abstract

We investigate the possible effects on the evolution of perturbations in the inflationary epoch due to short distance physics. We introduce a suitable non local action for the inflaton field, suggested by Noncommutative Geometry, and obtained by adopting a generalized star product on a Friedmann-Robertson-Walker background. In particular, we study how the presence of a length scale where spacetime becomes noncommutative affects the gaussianity and isotropy properties of fluctuations, and the corresponding effects on the Cosmic Microwave Background spectrum.

Published version, 16 pages

References in corpus (4)

• The quantum structure of spacetime at the Planck scale and quantum fields
• On the unitarity problem in space/time noncommutative theories
• The Corley-Jacobson dispersion relation and trans-Planckian inflation
• Infinitely many star products to play with

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