Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model

TL;DR

This paper explores the potential of the finite-scale gauged Nambu-Jona-Lasinio model to produce realistic cosmic inflation compatible with observational data, analyzing its effective potential and fluctuations.

Contribution

It demonstrates that the model can realize inflation consistent with Planck data, showing its relation to known inflationary models and dependence on gauge parameters.

Findings

Inflationary scenarios are viable within the model for certain parameters.

The model exhibits behavior similar to $\, ext{phi}^{4n}$ chaotic inflation and Starobinsky models.

The model's predictions depend on the gauge group and fermion flavors.

Abstract

The possibility to construct an inflationary universe scenario for the finite-scale gauged Nambu-Jona-Lasinio model is investigated. This model can be described by the Higgs-Yukawa type interaction model with the corresponding compositeness scale. Therefore, the one-loop Higgs-Yukawa effective potential is used with the compositeness condition for the study of inflationary dynamics. We evaluate the fluctuations in the cosmic microwave background for the model with a finite compositeness scale in the slow-roll approximation. We find the remarkable dependence on the gauge group and the number of fermion flavors. It is also proved that the model has similar behavior with the $\phi^{4n}$ chaotic inflation and the Starobinsky model at the flat and steep limits, respectively. It is demonstrated that realistic inflation consistent with Planck data is possible for a range of theory parameters.