Random Matrices and the Spectrum of N-flation

Details Random Matrices and the Spectrum of N-flation Random Matrices and the Spectrum of N-flation

2005-12-08

arxiv.org/abs/hep-th/0512102v3

JCAP0605:018,2006

Physics

High Energy Physics

High Energy Physics - Theory

56 pages, 9 figures; v2: references added; v3: several small clarifications, refs added, will match published version in JCAP

Scientific paper

N-flation is a promising embedding of inflation in string theory in which many string axions combine to drive inflation. We characterize the dynamics of a general N-flation model with non-degenerate axion masses. Although the precise mass of a single axion depends on compactification details in a complicated way, the distribution of masses can be computed with very limited knowledge of microscopics: the shape of the mass distribution is an emergent property. We use random matrix theory to show that a typical N-flation model has a spectrum of masses distributed according to the Marchenko-Pastur law. This distribution depends on a single parameter, the number of axions divided by the dimension of the moduli space. We use this result to describe the inflationary dynamics and phenomenology of a general N-flation model. We produce an ensemble of models and use numerical integration to track the axions' evolution and the resulting scalar power spectrum. For realistic initial conditions, the power spectrum is considerably more red than in single-field $m^2\phi^2$ inflation. We conclude that random matrix models of N-flation are surprisingly tractable and have a rich phenomenology that differs in testable ways from that of single-field $m^2\phi^2$ inflation.

Affiliated with

Also associated with

No associations

Rating

Random Matrices and the Spectrum of N-flation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random Matrices and the Spectrum of N-flation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random Matrices and the Spectrum of N-flation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-371463