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