5 papers
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…
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…
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…
Conservation Law and Trace Anomaly for the Stress Energy Tensor of a Self-Interacting Scalar Field
Beatrice Costeri, Claudio Dappiaggi, Michele Goi
We consider a self-interacting, massive, real scalar field on a four-dimensional globally hyperbolic spacetime and the associated stress-energy tensor. Using techniques proper of t…