Finster, Felix and Plaum, Waetzold (2008) A lattice model for the fermionic projector in a static and isotropic space-time. MATHEMATISCHE NACHRICHTEN, 281 (6). pp. 803-816. ISSN 0025-584X,
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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. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; variational principle; indefinite inner product space; lattice model |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Nov 2020 05:51 |
| Last Modified: | 23 Nov 2020 05:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31718 |
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