Nonextensive scalar field theories and dark energy models

Current astronomical measurements indicate that approximately 73% of the universe is made up of dark energy. Stochastically quantized self-interacting scalar fields can serve as suitable models to generate dark energy. We study a particular model where the scalar field theory underlying dark energy exhibits strongest possible chaotic behaviour. It is shown that the fluctuating chaotic field momenta obey a generalized (nonextensive) statistical mechanics, with an entropic index q given by q=3, respectively q=-1 if the escort formalism is used.