Finster, Felix and Kleiner, Johannes (2016) Noether-like theorems for causal variational principles. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 55 (2): 35. ISSN 0944-2669, 1432-0835
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The connection between symmetries and conservation laws as made by Noether's theorem is extended to the context of causal variational principles and causal fermion systems. Different notions of continuous symmetries are introduced. It is proven that these symmetries give rise to corresponding conserved quantities, expressed in terms of so-called surface layer integrals. In a suitable limiting case, the Noether-like theorems for causal fermion systems reproduce charge conservation and the conservation of energy and momentum in Minkowski space. Thus the conservation of charge and energy-momentum are found to be special cases of general conservation laws which are intrinsic to causal fermion systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2019 09:41 |
| Last Modified: | 03 Apr 2019 09:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3195 |
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