8 November 2025
Northwestern University Technological Institute
America/Chicago timezone

Dynamical Solution to the Eta Problem in Spectator Field Models

8 Nov 2025, 17:00
15m
Tech L211 (Northwestern University Technological Institute)

Tech L211

Northwestern University Technological Institute

2145 Sheridan Rd, Evanston, IL 60208

Speaker

Sana Elgamal (University of Chicago)

Description

We study a class of spectator field models that addresses the eta problem while providing a natural explanation for the observed slight deviation of the spectrum of curvature perturbations from scale-invariance. In particular, we analyze the effects of quantum corrections on the quadratic potential of the spectator field given by its gravitational coupling to the Ricci scalar and the inflaton energy, so-called the Hubble-induced mass term. These quantum corrections create a minimum around which the potential is flatter and to which the spectator field is attracted. We demonstrate that this attractor dynamics can naturally generate the observed slightly red-tilted spectrum of curvature perturbations. Furthermore, focusing on a curvaton model with a quadratic vacuum potential, we compute the primordial non-Gaussianity parameter fNL and derive a predictive relationship between fNL and the running of the scalar spectral index. This relationship serves as a testable signature of the model. Finally, we extend the idea to a broader class of models where the spectator field is an angular component of a complex scalar field.

Authors

Prof. Keisuke Harigaya (University of Chicago) Sana Elgamal (University of Chicago)

Presentation materials