The Spectrum of Fluctuations in Singularity-free Inflationary Quantum Cosmology
نویسنده
چکیده
We calculate the power spectrum of vacuum fluctuations of a generic scalar field in a quantum cosmological setting that is manifestly singularity-free. The power spectrum is given in terms of the usual scale invariant spectrum plus scale dependent corrections. These are induced by welldefined quantum fluctuations of de Sitter spacetime, resulting in a modified dispersion relation for the scalar field. The leading correction turns out to be proportional to the ratio of Hubble scale and Planck Mass. The maximal relative change in the spectrum is on the ten percent level and might be observable with future CMB experiments.
منابع مشابه
Inflationary universe in loop quantum cosmology
Loop quantum cosmology provides a nice solution of avoiding the big bang singularity through a big bounce mechanism in the high energy region. In loop quantum cosmology an inflationary universe is emergent after the big bounce, no matter what matter component is filled in the universe. A super-inflation phase without phantom matter will appear in a certain way in the initial stage after the bou...
متن کاملInitial Kaluza-Klein fluctuations and inflationary gravitational waves in braneworld cosmology
We study the spectrum of gravitational waves generated from inflation in the Randall-Sundrum braneworld. Since the inflationary gravitational waves are of quantum-mechanical origin, the initial configuration of perturbations in the bulk includes Kaluza-Klein quantum fluctuations as well as fluctuations in the zero mode. We show, however, that the initial fluctuations in Kaluza-Klein modes have ...
متن کاملConceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation
In spite of its great phenomenological success, current models of scalar field-driven inflation suffer from important unresolved conceptual issues. New fundamental physics will be required to address these questions. String theory is a candidate for a unified quantum theory of all four forces of nature. As will be shown, string theory may lead to a cosmological background quite different from a...
متن کاملQuantum Fluctuations of Bulk Inflaton in Inflationary Brane World
The inflationary scenario for the brane world driven by the bulk inflaton is proposed. The quantum fluctuations of the inflaton is calculated and compared to those of the conventional 4-dimensional inflationary scenario. It is shown that the deviation of the primordial spectrum of this model from that of the conventional one is too small to be observed even if AdS radius is very large. Hence, i...
متن کاملTrans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
There are good indications that fundamental physics gives rise to a modified spacemomentum uncertainty relation that implies the existence of a minimum length scale. We implement this idea in the free scalar field theory that describes density perturbations in flat Robertson-Walker space-time. This leads to a non-linear timedependent dispersion relation that encodes the effects of Planck scale ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006