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Numerical analysis using Generalised Pattern Search for a discrete fermionic lattice model of the vacuum
Plaum, Wätzold (2010) Numerical analysis using Generalised Pattern Search for a discrete fermionic lattice model of the vacuum. PhD, Universität Regensburg.Date of publication of this fulltext: 20 Apr 2010 13:01
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.13587
Abstract (English)
This thesis deals with the first numerical analysis of the variation principle concerning the theory of the Fermionic Projector. A model for describing discrete fermionic vacuum systems is developed. An action principle is introduced and the existence of minimizers is prooved. The resulting MINLP optimisation problem is numerically analysed using Generalised Pattern Search.
Translation of the abstract (German)
Die Arbeit behandelt die erste numerische Untersuchung eines Variationsprinzips im Rahmen der Theorie des Fermionischen Projektors. Ein Modell zur Beschreibung diskreter fermionischer Systeme wird aufgestellt. Eine Wirkung wird eingeführt, und die Existenz von von Minimierern bewiesen. Das resultierende Problem der gemischt-ganzzahlichen Optimierung (MINLP) wird numerisch analysiert mit der Methode des Generalised Pattern Search.
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Details
| Item type | Thesis of the University of Regensburg (PhD) | ||||
| Date | 20 April 2010 | ||||
| Referee | Prof. Dr. Felix Finster and Prof. Dr. Georg Dolzmann | ||||
| Date of exam | 22 December 2009 | ||||
| Institutions | Mathematics > Prof. Dr. Felix Finster | ||||
| Related URLs |
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| Keywords | fermionic projector, Generalised Pattern Search, Vacuum, discrete spacetime, fermions, Dirac Sea, Fermionischer Projektor, gemischt-ganzzahlige Optimierung, Vakuum, diskrete Raumzeit, Fermionen, Dirac-See | ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-134847 | ||||
| Item ID | 13587 |
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