  Inflationary models are usually based on dynamics of one or more scalar
fields coupled to gravity. In this work we present a new class of inflationary
models, gauge-flation or non-Abelian gauge field inflation, where slow-roll
inflation is driven by a non-Abelian gauge field. This class of models are
based on a gauge field theory with a generic non-Abelian gauge group minimally
coupled to gravity. We then focus on a particular gauge-flation model by
specifying the action for the gauge theory which allows for a successful
slow-roll inflation. This model has two parameters the value of which can be
fixed using the CMB and other cosmological data. These values are within the
natural range of parameters in generic grand unified theories of particle
physics.
