Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles

DOI10.4310/PAMQ.2021.v17.n1.a3zbMath1479.58018arXiv1808.03177OpenAlexW2886573324MaRDI QIDQ2025306

Felix Finster, Niky Kamran

Publication date: 12 May 2021

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03177

zbMATH Keywords

complex structurescausal variational principlesbosonic Fock spacesHilbert space structures on jetssurface layer integrals

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational principles in infinite-dimensional spaces (58E30) Quantum field theory on curved space or space-time backgrounds (81T20) Jets in global analysis (58A20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Variational principles of physics (49S05)

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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 ⋮ A mechanism of baryogenesis for causal fermion systems ⋮ Modified measures as an effective theory for causal fermion systems ⋮ The causal action in Minkowski space and surface layer integrals ⋮ A class of conserved surface layer integrals for causal variational principles ⋮ A notion of entropy for causal fermion systems ⋮ Banach manifold structure and infinite-dimensional analysis for causal fermion systems ⋮ The linear dynamics of wave functions in causal fermion systems

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