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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
A perturbative approach to the Wetterich equation for Bosonic and Fermionic interacting fields
Beatrice Costeri
We study the Lorentzian Wetterich Renormalization Group (RG) flow equation for interacting quantum fields on curved backgrounds within the framework of perturbative Algebraic Quant…
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…