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.
Title resolution pending
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
fields
math-ph 6representative citing papers
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.
A limiting case of the causal action principle for causal fermion systems yields the Fock-space dynamics and Feynman diagrams of pQFT including non-abelian gauges and Dirac fields.
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.
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.
citing papers explorer
-
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.
-
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.
-
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.
-
The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields
A limiting case of the causal action principle for causal fermion systems yields the Fock-space dynamics and Feynman diagrams of pQFT including non-abelian gauges and Dirac fields.
-
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.
-
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.