Non-local effects at the onset of the chiral transition
  Inspired by analytic results obtained for a systematic expansion of the memory kernel in dissipative quantum mechanics, we propose a phenomenological procedure to incorporate non-markovian corrections to the Langevin dynamics of an order parameter in field theory systematically. In this note, we restrict our analysis to the onset of the evolution. As an example, we consider the process of phase conversion in the chiral transition. 
Let\'icia F. Palhares, Eduardo S. Fraga, Takeshi Kodama, Gast\~ao   Krein