147 citations · 733 across the 37 of their papers we have counts for
5 papers · 1 filter
A rigorous geometric derivation of the chiral anomaly in curved backgrounds
Christian Baer, Alexander Strohmaier
We discuss the chiral anomaly for a Weyl field in a curved background and show that a novel index theorem for the Lorentzian Dirac operator can be applied to describe the gravitati…
Green-hyperbolic operators on globally hyperbolic spacetimes
Christian Baer
Green-hyperbolic operators are linear differential operators acting on sections of a vector bundle over a Lorentzian manifold which possess advanced and retarded Green's operators.…
Classical and Quantum Fields on Lorentzian Manifolds
Christian Baer, Nicolas Ginoux
We construct bosonic and fermionic locally covariant quantum field theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point function…
Asymptotic heat kernel expansion in the semi-classical limit
Christian Baer, Frank Pfaeffle
Let where is a self-adjoint Laplace type operator acting on sections of a vector bundle over a compact Riemannian manifold and is a symmetric endomorphism…
Localization and Semibounded Energy - A Weak Unique Continuation Theorem
Christian Baer
Let D be a self-adjoint differential operator of Dirac type acting on sections in a vector bundle over a closed Riemannian manifold M. Let H be a closed D-invariant subspace of the…