Numerical studies of a model fermion-boson system |
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Authors: | T. Cheng |
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Affiliation: | Intense Laser Physics Theory Unit, Department of Physics, Illinois State University, Normal, IL 61790-4560, USA |
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Abstract: | We study the spectral and dynamical properties of a simplified model system of interacting fermions and bosons. The spatial discretization and an effective truncation of the Hilbert space permit us to compute the distribution of the bare fermions and bosons in the energy eigenstates of the coupled system. These states represent the physical particles and are used to examine the validity of the analytical predictions by perturbation theory and by the Greenberg-Schweber approximation that assumes all fermions are at rest. As an example of our numerical framework, we examine how a bare electron can trigger the creation of a cloud of virtual bosons around. We relate this cloud to the properties of the associated energy eigenstates. |
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Keywords: | Yukawa model system Interacting boson-fermion model Numerical approach to quantum field theory Space-time resolution for a model system Virtual bosons Greenberg-Schweber approximation |
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