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math-ph2026
The Hadamard parametrix on globally hyperbolic spacetimes with Robin boundary conditions: Fundamental solutions and Hadamard states
Beatrice Costeri, Claudio Dappiaggi, Benito Alberto Juárez-Aubry
On a -dimensional, , globally hyperbolic spacetime with a timelike boundary , we investigate the Klein-Gordon equation with Robin boundary conditions.…
math-ph2026
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…
math-ph2026
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…