Dynamical Fractional Chaotic Inflation -- Dynamical Generation of a Fractional Power-Law Potential for Chaotic Inflation

TL;DR

This paper proposes a dynamical mechanism within supersymmetric gauge theories that naturally generates fractional power-law potentials for chaotic inflation, aligning with potential future CMB observations of large tensor-to-scalar ratios.

Contribution

It extends previous models by exploring diverse gauge dynamics and field content, enabling realization of nearly any rational power in the inflaton potential.

Findings

Dynamically generated fractional power-law potentials via quantum effects.

Models accommodate a wide range of rational powers p.

Framework supports potential confirmation by future CMB data.

Abstract

Chaotic inflation based on a simple monomial scalar potential, V(phi) ~ phi^p, is an attractive large-field model of inflation capable of generating a sizable tensor-to-scalar ratio r. Therefore, assuming that future CMB observations will confirm the large r value reported by BICEP2, it is important to determine what kind of dynamical mechanism could possibly endow the inflaton field with such a simple effective potential. In this paper, we answer this question in the context of field theory, i.e. in the framework of dynamical chaotic inflation (DCI), where strongly interacting supersymmetric gauge dynamics around the scale of grand unification dynamically generate a fractional power-law potential via the quantum effect of dimensional transmutation. In constructing explicit models, we significantly extend our previous work, as we now consider a large variety of possible underlying gauge dynamics and relax our conditions on the field content of the model. This allows us to realize almost arbitrary rational values for the power p in the inflaton potential. The present paper may hence be regarded as a first step towards a more complete theory of dynamical chaotic inflation.