Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-17
Nucl.Phys. B555 (1999) 355-394
Physics
High Energy Physics
High Energy Physics - Phenomenology
34 pages + 20 eps figures, improved presentation, discussion of the figures and figure captions expanded, references added; to
Scientific paper
10.1016/S0550-3213(99)00320-X
The 1+1 dimensional abelian Higgs model with fermions is a toy model for the theory of electroweak baryogenesis. We study the dynamics of the model with axially coupled fermions in real-time. The model is defined on a spacetime lattice to preserve gauge invariance and to obtain numerical stability in a simple way. We take into account the phenomenon of lattice fermion doubling. The dynamics is approximated by treating the inhomogeneous Bose fields classically, which is justified in a large N_f approximation. The back reaction on the Bose fields due to fermion field fluctuations is calculated using a mode function expansion. We discuss and present numerical results for the response of fermions to sphaleron transitions, the renormalizability of the effective equations of motion and non-perturbative dynamics in the framework of non-equilibrium quantum field theory. The long-time behaviour of the system is discussed and we speculate about applications to finite density calculations.
Aarts Gert
Smit Jan
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