 
Summary: arXiv:hepph/9809340
v2
12
Nov
1998
NonEquilibrium Dynamics with Fermions on a Lattice in Space and Time
Gert Aarts 1 and Jan Smit 1;2
1 Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3508 TA Utrecht, the Netherlands
2 Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, the Netherlands
aarts@phys.uu.nl, jsmit@phys.uva.nl
(September 1, 1998)
We consider the dynamics of the 1 + 1 dimensional abelian Higgs model with axially coupled
fermions, in the large Nf limit, on a lattice in space and realtime. We allow for inhomogeneous
classical Bose elds. In order to deal with the lattice doublers, we use Wilson's lattice fermions.
The lattice formulation leads to a stable integration algorithm. We illustrate the implementation
with numerical results.
I. INTRODUCTION
Realtime dynamics of quantum elds plays an impor
tant role in the early universe, in heavy ion collisions
and in condensed matter. For example, a detailed un
