WMAP constraint on the P-term inflationary model

TL;DR

This paper analyzes constraints on the P-term inflationary model using WMAP data, highlighting its richer physics and the challenges in simultaneously fitting spectral index and its derivative.

Contribution

It provides the first observational constraints on P-term inflation, exploring parameter ranges and the model's compatibility with WMAP data.

Findings

P-term inflation can produce spectral index variations consistent with observations.

Tuning parameters $f$ and $g$ affects spectral index but cannot satisfy all observational constraints simultaneously.

The model's spectral index is greater than 1 on large scales and less than 1 on small scales.

Abstract

In light of WMAP results, we examine the observational constraint on the P-term inflation. With the tunable parameter $f$, P-term inflation contains richer physics than D-term and F-term inflationary models. We find the logarithmic derivative spectral index with $n>1$ on large scales and $n<1$ on small scales in agreement to observation. We obtained a reasonable range for the choice of the gauge coupling constant $g$ in order to meet the requirements of WMAP observation and the expected number of the e-foldings. Although tuning $f$ and $g$ we can have larger values for the logarithmic derivative of the spectral index, it is not possible to satisfy all observational requirements for both, the spectral index and its logarithmic derivative at the same time.