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 Nf 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.

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