Stochastic quantization and B.R.S. symmetry

For renormalization purpose, it is useful to associated with dynamical equations like the Langevin equation, an effective field theory action. We show that as in various other cases like gauge field theories, or random field Ising model this action is automatically B.R.S. symmetric. In addition in special cases we recover that the effective action can have a second B.R.S. symmetry or even supersymmetry