Non-equilibrium Quantum Many-Body Dynamics: Functional Integral   Approaches
  We discuss functional-integral approaches to far-from-equilibrium quantum many-body dynamics. Specific techniques considered include the two-particle-irreducible effective action and the real-time flow-equation approach. Different applications, including equilibration after a sudden parameter change and non-equilibrium critical phenomena, illustrate the potential of these methods. 
C\'edric Bodet, Matthias Kronenwett, Boris Nowak, D\'enes Sexty,   Thomas Gasenzer
cond-mat.quant-gas hep-ph