8 papers
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.…
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…
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…
Boundary Conditions and Dirac Fields on AdS
Claudio Dappiaggi, Andrea Parpinel
We study Dirac fields on AdS in both global and Poincaré charts and, for each mass window, we classify the boundary conditions at conformal infinity that ensure the existence o…
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…
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…
Quantum superposition of boundary condition in
João P. M. Pitelli, Bruno S. Felipe, Claudio Dappiaggi +1
We explore the quantum superposition of boundary conditions in the context of the Poincaré patch of the two-dimensional Anti-de Sitter space (). Focusing on Robin…
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…