Functional renormalization group in stochastic inflation

摘要: After showing the IR dynamics of a light scalar field in de Sitter, obeying Starobinsky's stochastic equation, to be equivalent Supersymmetric Euclidean Quantum Mechanics, we apply functional renormalization group obtain effective action governing correlations over long time intervals $\lim\limits_{t\rightarrow \infty}\left\langle\phi(0)\phi(t)\right\rangle$. For massless and very fields with $\lambda \phi^4$ self-interaction, for which perturbation theory breaks down, find that dynamical mass $m^2\sim \sqrt{\lambda}H^2$ develops, corroborating findings earlier works simple way. The flow framework also shows symmetry restoration breaking potentials due Sitter fluctuations. Hence, extremely non-conformally coupled are unphysical, at least as far their is concerned.