Quantum kinetic theory for fermions in temporally varying backrounds TeX Export

@misc{citeulike:2983854, abstract = {We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is found to arise from new spectral solutions for the dynamical 2-point correlation function in the mean field limit. The physical density matrix \$\rho\$ and its dynamics is shown to be necessarily dependent on the extrenous information on the system, and expressions that relate \$\rho\$ to fundamental coherence functions and fermionic particle and antiparticle numbers are derived. For an interacting system we demonstrate how smooth decoherence effects are induced by collisions. As special applications we study the production of unstable particles during the preheating stage of the inflation and an evolution of an initially quantum \$\rho\$ towards a statistical limit including decoherence and thermalisation.}, archivePrefix = {arXiv}, author = {Herranen, Matti and Kainulainen, Kimmo and Rahkila, Pyry M.}, citeulike-article-id = {2983854}, citeulike-linkout-0 = {http://arxiv.org/abs/0807.1435}, citeulike-linkout-1 = {http://arxiv.org/pdf/0807.1435}, day = {9}, eprint = {0807.1435}, keywords = {kinetic, quantum, theory}, month = {Jul}, posted-at = {2008-07-10 10:22:02}, priority = {2}, title = {Quantum kinetic theory for fermions in temporally varying backrounds}, url = {http://arxiv.org/abs/0807.1435}, year = {2008} }

TY - ELEC ID - citeulike:2983854 L3 - citeulike-article-id:2983854 N2 - We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is found to arise from new spectral solutions for the dynamical 2-point correlation function in the mean field limit. The physical density matrix $\rho$ and its dynamics is shown to be necessarily dependent on the extrenous information on the system, and expressions that relate $\rho$ to fundamental coherence functions and fermionic particle and antiparticle numbers are derived. For an interacting system we demonstrate how smooth decoherence effects are induced by collisions. As special applications we study the production of unstable particles during the preheating stage of the inflation and an evolution of an initially quantum $\rho$ towards a statistical limit including decoherence and thermalisation. TI - Quantum kinetic theory for fermions in temporally varying backrounds KW - kinetic KW - quantum KW - theory AU - Herranen, Matti AU - Kainulainen, Kimmo AU - Rahkila, Pyry PY - 2008/Jul/09/ UR - http://arxiv.org/abs/0807.1435 ER -