Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles

Abstract

We give a novel construction of global solutions to the linearized field equations for causal variational principles. The method is to glue together local solutions supported in lens-shaped regions. As applications, causal Green's operators and cone structures are introduced.

17 pages, LaTeX, 3 figures, minor changes (published version). arXiv admin note: substantial text overlap with arXiv:1811.10587; text overlap with arXiv:2111.08261, arXiv:1912.12995

References in corpus (1)

• Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles

Cited by in corpus (3)

• Modified Measures as an Effective Theory for Causal Fermion Systems
• Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles
• Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems