Non-Gaussianity from Compositeness

TL;DR

This paper links the non-Gaussianity parameter during inflation to the ratio of the inflationary scale and a cutoff scale, providing a way to constrain fundamental physics from observational bounds.

Contribution

It derives a new relation connecting non-Gaussianity to the ratio of inflationary and cutoff scales in a condensate-based model.

Findings

Derived the relation $f_{NL}^2 \,\simeq\ 10^8 H / M_c$

Connected observational bounds on $f_{NL}$ to constraints on the cutoff scale $M_c$

Provided a theoretical framework for non-Gaussianity from condensate dynamics.

Abstract

By assuming the field seeding the curvature perturbations $ \zeta $ is a dynamically arising condensate, we are able to derive the relation $ f_{NL} ^2 \simeq 10^8 H / M_c $ between the non-Gaussianity parameter $ f_{NL} $ and the ratio of the inflationary scale $ H $ to the cutoff scale $ M_c $ of the effective theory describing the condensate, thus relating the experimental bound on $ f_{NL} $ to a bound on $ M_c $.