Unfinished Business in A Nonlinear Sigma Model on de Sitter Background

Nonlinear sigma models on de Sitter background possess the same kind of derivative interactions as gravity, and show the same sorts of large spacetime logarithms in correlation functions and solutions to the effective field equations. It was recently demonstrated that these logarithms can be resummed by combining a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. This work considers one of these models and completes two pieces of analysis which were left unfinished: the evolution of the background at two loop order and the one loop beta function.Comment: 23 pages, 11 figures, uses LaTeX2e, Version 2 revised for publication with 5 figures and length of 25 page