Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-06-29
Phys.Rev. D61 (2000) 025002
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages + 6 eps figures, some clarifications and two references added, typos corrected; to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.61.025002
As a toy model for dynamics in nonequilibrium quantum field theory we consider the abelian Higgs model in 1+1 dimensions with fermions. In the approximate dynamical equations, inhomogeneous classical (mean) Bose fields are coupled to quantized fermion fields, which are treated with a mode function expansion. The effective equations of motion imply e.g. Coulomb scattering, due to the inhomogeneous gauge field. The equations are solved numerically. We define time dependent fermion particle numbers with the help of the single-time Wigner function and study particle production starting from inhomogeneous initial conditions. The particle numbers are compared with the Fermi-Dirac distribution parametrized by a time dependent temperature and chemical potential. We find that the fermions approximately thermalize locally in time.
Aarts Gert
Smit Jan
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