Causal Variational Principles on Measure Spaces
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We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter examples to compactness are discussed. The existence results are applied to variational principles formulated in indefinite inner product spaces.
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Forward citations
Cited by 2 Pith papers
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Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
A limiting case of the causal action principle in causal fermion systems yields QED Fock space dynamics via stochastic fluctuating fields and dephasing, while introducing holographic mixing.
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Action-Driven Flows for Causal Variational Principles
Action-driven flows are constructed via minimizing movements and penalization for causal variational principles to obtain approximate solutions in finite- and infinite-dimensional settings for causal fermion systems.
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