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A non-perturbative construction of the Fermionic projector on globally hyperbolic manifolds II: space-times of infinite lifetime

Finster, Felix ; Reintjes, Moritz


The previous functional analytic construction of the fermionic projector on globally hyperbolic Lorentzian manifolds is extended to space-times of infinite lifetime. The construction is based on an analysis of families of solutions of the Dirac equation with a varying mass parameter. It makes use of the so-called mass oscillation property which implies that integrating over the mass parameter ...


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