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

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