Scale Invariance from Modified Dispersion Relations

Details Scale Invariance from Modified Dispersion Relations Scale Invariance from Modified Dispersion Relations

2009-07-23

arxiv.org/abs/0907.3982v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 2 figures

Scientific paper

In this paper, inspired by the investigations on the theory of cosmological perturbations in Ho\v{r}ava-Liftshit cosmology, we calculated the spectrum of primordial perturbation leaded by a scalar field with modified dispersion relation \omega\sim k^z/a^{p-1}, in which z is the critical exponent and p is generally not equal to z. We discussed that for fixed z, if the spectrum is required to be scale invariant, how should p depend on the background evolution. We concluded that there is always a room of parameters for the generation of scale invariant spectrum.

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