A class of conserved surface layer integrals for causal variational principles

In the theory of causal fermion systems, the physical equations are obtained as the Euler–Lagrange equations of a causal variational principle. Studying families of critical measures of causal variational principles, a class of conserved surface layer integrals is found and analyzed.

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Vydané v:Calculus of variations and partial differential equations Ročník 58; číslo 1; s. 1 - 34
Hlavní autori: Finster, Felix, Kleiner, Johannes
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2019
Springer Nature B.V
Predmet:
Analysis
Calculus of Variations and Optimal Control; Optimization
Control
Euler-Lagrange equation
Fermions
Integrals
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Surface layers
Systems Theory
Theoretical
Variational principles
49K21
49S05
28C99
83C47
58C35
58Z05
49K27
49Q20
ISSN:0944-2669, 1432-0835
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Popis
Shrnutí:In the theory of causal fermion systems, the physical equations are obtained as the Euler–Lagrange equations of a causal variational principle. Studying families of critical measures of causal variational principles, a class of conserved surface layer integrals is found and analyzed.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-018-1469-9