A Note on Curvature Fluctuation of Noncommutative Inflation
arXiv:hep-th/0403134 · doi:10.1016/j.physletb.2004.04.078
Abstract
An elegant approach, which incorporates the effect of the stringy spacetime uncertainty relation, to calculate power spectra of fluctuations during inflation has been suggested by Brandenberger and Ho. In this approach, one of important features is the appearance of an upper bound on the comoving momentum , at which the stringy spacetime uncertainty relation is saturated. As a result, the time-dependent upper bound leads us to choose naturally a set of initial vacua for each mode, in which the stringy uncertainty relation is saturated. In this note, with that set of vacua we calculate power spectrum of curvature fluctuation for a power law inflation, up to the leading order of a parameter describing the spacetime noncommutativity. It turns out that this choice of initial vacuum has a significant effect on the power spectrum of fluctuations.
Latex, 13 pages, v2: minor changes, two references added, to appear in PLB
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- Trans-Planckian corrections to the primordial spectrum in the infra-red and the ultra-violet
- Non-singular Brans-Dicke collapse in deformed phase space
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- Noncommutative KKLMMT Model
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- Density fluctuations in -deformed inflationary universe
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- The measurement of R at CLEO
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