Linearized fields for causal variational principles: existence theory and causal structure

DOI10.4310/MAA.2020.v27.n1.a1zbMath1451.35005arXiv1811.10587WikidataQ125994191 ScholiaQ125994191MaRDI QIDQ2201515

Felix Finster, Claudio Dappiaggi

Publication date: 29 September 2020

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10587

zbMATH Keywords

causal fermion systemsGreen's operatorslens-shaped regions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational principles of physics (49S05) Strong solutions to PDEs (35D35)

Related Items (9)

Fermionic Fock spaces and quantum states for causal fermion systems ⋮ Linear bosonic quantum field theories arising from causal variational principles ⋮ Elliptic methods for solving the linearized field equations of causal variational principles ⋮ Modified Green-hyperbolic operators ⋮ Modified measures as an effective theory for causal fermion systems ⋮ A class of conserved surface layer integrals for causal variational principles ⋮ A notion of entropy for causal fermion systems ⋮ The linear dynamics of wave functions in causal fermion systems ⋮ Causal fermion systems and the ETH approach to quantum theory

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