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A Variational Principle in Discrete Space-Time - Existence of Minimizers

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arxiv math-ph/0503069 v5 pith:FFQASJKZ submitted 2005-03-29 math-ph math.MP

classification math-phmath.MP
keywords existenceminimizersprinciplevariationalcollectiondiscreteformulateindefinite
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We formulate a variational principle for a collection of projectors in an indefinite inner product space. The existence of minimizers is proved in various situations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes

    math-ph 2026-05 unverdicted novelty 6.0 of 10

    Causal fermion systems are constructed for globally hyperbolic spacetimes such that their continuum limit satisfies the Euler-Lagrange equations of the causal action principle if and only if the coupled Einstein-Dirac...

  2. Construction of Currents in Causal Fermion Systems

    math-ph 2025-07 conditional novelty 6.0 of 10

    A probing construction on the linearized causal action recovers Maxwell's equations at rank one, with coupling independent of the regularization length.

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