Instability-induced fermion production in quantum field theory
Abstract
Nonequilibrium instabilities are known to lead to exponential amplification of boson occupation numbers for low momentum modes on time scales much shorter than the asymptotic thermal equilibration time. We show for Yukawa-type interactions that this growth induces very efficient fermion production, which proceeds with the maximum primary boson growth rate. The description is based on a 1/N expansion of the 2PI effective action to NLO including boson-fermion loops, which are crucial to observe this phenomenon. For long enough amplification in the boson sector, fermion production terminates when the thermal occupancy is reached in the infrared. At higher momenta, where boson occupation numbers are low, the fermion modes exhibit a power-law regime with exponent two.
Cite
@article{arxiv.0904.3073,
title = {Instability-induced fermion production in quantum field theory},
author = {J. Berges and J. Pruschke and A. Rothkopf},
journal= {arXiv preprint arXiv:0904.3073},
year = {2009}
}
Comments
19 pages, 16 figures, Phys.Rev.D version, minor corrections