36 citations · 140 across the 25 of their papers we have counts for
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The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is worked out in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of perturbativ…
Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum ele…
Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals
Felix Finster, Niky Kamran, Moritz Reintjes
This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asy…
On the Optimal Regularity Implied by the Assumptions of Geometry I: Connections on Tangent Bundles
Moritz Reintjes, Blake Temple
We resolve the problem of optimal regularity and Uhlenbeck compactness for affine connections in General Relativity and Mathematical Physics. First, we prove that any affine connec…
The Fermionic Signature Operator and Space-Time Symmetries
Felix Finster, Moritz Reintjes
We show that and specify how space-time symmetries give rise to corresponding symmetries of the fermionic signature operator and generalized fermionic projector states.
The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave
Felix Finster, Moritz Reintjes
We give a non-perturbative construction of a distinguished state for the quantized Dirac field in Minkowski space in the presence of a time-dependent external field of the form of…
Constrained Systems of Conservation Laws: A Geometric Theory
Moritz Reintjes
We address the Riemann and Cauchy problems for systems of conservation laws in unknowns which are subject to constraints (). Such constrained systems general…
A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds II -- Space-Times of Infinite Lifetime
Felix Finster, Moritz Reintjes
The previous functional analytic construction of the fermionic projector on globally hyperbolic Lorentzian manifolds is extended to space-times of infinite lifetime. The constructi…
A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds I - Space-Times of Finite Lifetime
Felix Finster, Moritz Reintjes
We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projecto…
The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann-Robertson-Walker Universe
Felix Finster, Moritz Reintjes
We set up the Dirac equation in a Friedmann-Robertson-Walker geometry and separate the spatial and time variables. In the case of a closed universe, the spatial dependence is solve…