Coupled fermion and boson production in a strong background mean-field
D. V. Vinnik, R. Alkofer, S. M. Schmidt, S. A. Smolyansky, V. V. Skokov, A. V. Prozorkevitch
Abstract
We derive quantum kinetic equations for fermion and boson production starting from a phi4 Lagrangian with minimal coupling to fermions. Decomposing the scalar field into a mean-field part and fluctuations we obtain spontaneous pair creation driven by a self-interacting strong background field. The produced fermion and boson pairs are self-consistently coupled. Consequently back reactions arise from fermion and boson currents determining the time dependent self-interacting background mean-field. We explore the numerical solution in flux tube geometry for the time evolution of the mean-field as well as for the number- and energy densities for fermions and bosons. We find that after a characteristic time all energy is converted from the background mean-field to particle creation. Applying this general approach to the production of ``quarks'' and ``gluons'' a typical time scale for the collapse of the flux tube is 1.5 fm/c.
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