A Lattice Model for the Fermionic Projector in a Static and Isotropic Space-Time
Mathematical Physics
2014-11-18 v2 High Energy Physics - Lattice
math.MP
Abstract
We introduce a lattice model for a static and isotropic system of relativistic fermions. An action principle is formulated, which describes a particle-particle interaction of all fermions. The model is designed specifically for a numerical analysis of the nonlinear interaction, which is expected to lead to the formation of a Dirac sea structure. We discuss basic properties of the system. It is proved that the minimum of the variational principle is attained. First numerical results reveal an effect of spontaneous symmetry breaking.
Cite
@article{arxiv.0712.0676,
title = {A Lattice Model for the Fermionic Projector in a Static and Isotropic Space-Time},
author = {Felix Finster and Wätzold Plaum},
journal= {arXiv preprint arXiv:0712.0676},
year = {2014}
}
Comments
16 pages, LaTeX, 3 figures, minor improvements (published version)