Investigation on an Nflation phase diagram with multifield polynomial potential

Abstract

This study aims to investigate an Nflationary phase diagram with a multifield polynomial potential. The gradual vanishing of the inflationary phase during slow roll phase of the Nflation model has been demonstrated for a large number of fields in the case when there are voluminous [Formula: see text] phase transitions occurring in it. A phase diagram for Nflation model illustrates its phase transitions for a multifield potential [Formula: see text]. We use Marčenko–Pastur law to find likely distribution of different mass-scales of the fields. Further, the study for the conditions of entropy is carried out in the form of a bound that conforms to the number of e-folds [Formula: see text] and the number of fields [Formula: see text]. These drive Nflationary phase and are mostly responsible for the phenomena taking place in it. We investigate in addition, that all the de Sitter entropy in the neighborhood of the critical point is concentrated around it and is largely condensed in the number of fields [Formula: see text] for the selected potential.