Non-Equilibrium Dynamics with Fermions on a Lattice in Space and Time

Abstract

We consider the dynamics of the 1+1 dimensional abelian Higgs model with axially coupled fermions, in the large N_f limit, on a lattice in space and real-time. We allow for inhomogeneous classical Bose fields. In order to deal with the lattice doublers, we use Wilson's lattice fermions. The lattice formulation leads to a stable integration algorithm. We demonstrate the practical implementation with numerical results.

Comments: 4 pages, 6 eps figures, poster presented at the 5th International Workshop on Thermal Field Theories and Their Applications, Regensburg, Germany, August 10-14, 1998. Short discussion on the large N_f limit added