Out-Of Massless Schwinger Model

An isolated statistical many-particle system, with microscopic dynamics described by massless Quantum Electrodynamics (QED) in one spatial dimension (massless Schwinger Model) is studied in out-of-equilibrium cases. This constitutes a model of Non-Equilibrium Relativistic Quantum Field Theory. The initial condition is chosen to correspond to local equilibrium but, on the other hand, to a global out of equilibrium situation, with a spatially-inhomogeneous distribution of temperatures on suitably large length scales. The out-of-equilibrium generating functionals are discussed and some partial results are outlined.