Coupled fermion and boson production in a strong background mean-field
Abstract
We derive quantum kinetic equations for fermion and boson production starting from a phi^4 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.
Keywords
Cite
@article{arxiv.nucl-th/0202034,
title = {Coupled fermion and boson production in a strong background mean-field},
author = {D. V. Vinnik and R. Alkofer and S. M. Schmidt and S. A. Smolyansky and V. V. Skokov and A. V. Prozorkevitch},
journal= {arXiv preprint arXiv:nucl-th/0202034},
year = {2008}
}
Comments
9 pages, latex, epsfig, 7 figures