Finster, Felix and Schiefeneder, Daniela (2013) On the Support of Minimizers of Causal Variational Principles. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 210 (2). pp. 321-364. ISSN 0003-9527,
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A class of causal variational principles on a compact manifold is introduced and analyzed both numerically and analytically. It is proved under general assumptions that the support of a minimizing measure is either completely timelike, or it is singular in the sense that its interior is empty. In the examples of the circle, the sphere and certain flag manifolds, the general results are supplemented by a more detailed and explicit analysis of the minimizers. On the sphere, we get a connection to packing problems and the Tammes distribution. Moreover, the minimal action is estimated from above and below.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DISCRETE SPACE-TIME; FERMION SYSTEMS; SPHERE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Mar 2020 07:54 |
| Last Modified: | 27 Mar 2020 07:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15823 |
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