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.
On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
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abstract
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we show that the minimizing measure is supported on the intersection of a hyperplane with a level set of a function which is homogeneous of degree two. Moreover, we perform second variations to obtain that the compact operator representing the quadratic part of the action is positive semi-definite. The key ingredient for the proof is a subtle adaptation of the Lagrange multiplier method to variational principles on convex sets.
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Correlation geometry underlies causal fermion systems by providing a thermodynamic-style description of physical systems that incorporates gauge symmetries and diffeomorphisms via the principle of unitary equivalence.
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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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Quantum Reference Frames and Correlation Geometry
Correlation geometry underlies causal fermion systems by providing a thermodynamic-style description of physical systems that incorporates gauge symmetries and diffeomorphisms via the principle of unitary equivalence.