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ELSEVIER Nuclear Physics B 555 (1999) 355-394 www.elsevier.nl/locate/npe

Summary: ELSEVIER Nuclear Physics B 555 (1999) 355-394
Real-time dynamics with fermions on a lattice
Gert Aarts a'l, Jan Smit a'b'2
a Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
b Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65,
1018 XE Amsterdam, The Netherlands
Received 18 December 1998; revised 4 May 1999; accepted 28 May 1999
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 space-time 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 Ny 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. (~) 1999 Elsevier Science B.V. All rights reserved.


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics