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 equations hold.
SolvingthelinearizedfieldequationsofthecausalactionprincipleinMinkowski space.Advances in Theoretical and Mathematical Physics, 27(7), pp
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A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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.
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.
citing papers explorer
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The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes
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 equations hold.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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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.