16 citations · 28 across the 6 of their papers we have counts for
6 papers
Notions of Fermionic Entropies of a Causal Fermion System
Felix Finster, Robert H. Jonsson, Magdalena Lottner +2
The fermionic von Neumann entropy, the fermionic entanglement entropy and the fermionic relative entropy are defined for causal fermion systems. Our definition makes use of entropy…
The Fermionic Entanglement Entropy of Causal Diamonds in Two-Dimensional Minkowski Space
Felix Finster, Magdalena Lottner, Albert Much +1
The fermionic Rényi entanglement entropy is studied for causal diamonds in two-dimensional Minkowski spacetime. Choosing the quasi-free state describing the Minkowski vacuum with a…
The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State
Felix Finster, Magdalena Lottner, Alexander V. Sobolev
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regula…
The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon
Felix Finster, Magdalena Lottner
We define and analyze the fermionic entanglement entropy of a Schwarzschild black hole horizon for the regularized vacuum state of an observer at infinity. Using separation of vari…
Elliptic Methods for Solving the Linearized Field Equations of Causal Variational Principles
Felix Finster, Magdalena Lottner
The existence theory is developed for solutions of the inhomogeneous linearized field equations for causal variational principles. These equations are formulated weakly with an int…
Banach Manifold Structure and Infinite-Dimensional Analysis for Causal Fermion Systems
Felix Finster, Magdalena Lottner
A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a…