5 papers · 1 filter
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…
Spectral asymmetry via pseudodifferential projections: the massless Dirac operator
Matteo Capoferri, Beatrice Costeri, Claudio Dappiaggi
A new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first au…
Schauder estimates for germs of distributions on smooth manifolds
Beatrice Costeri, Claudio Dappiaggi, Paolo Rinaldi +1
We discuss germs of distributions on dimensional smooth Riemannian manifolds and, in particular, we derive \emph{multi-level Schauder estimates} without making any further assu…
The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states
B. Costeri, C. Dappiaggi, B. A. Juárez-Aubry +1
We address the problem of constructing fundamental solutions and Hadamard states for a Klein-Gordon field in half-Minkowski spacetime with Robin boundary conditions in s…
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…