A Non-Perturbative Construction Of The Fermionic Projector On Globally Hyperbolic Manifolds I - Space-Times Of Finite Lifetime
نویسندگان
چکیده
We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projector is represented by a two-point distribution on the manifold. By introducing an ultraviolet regularization, we get to the framework of causal fermion systems. The connection to the “negative-energy solutions” of the Dirac equation and to the WKB approximation is explained and quantified by a detailed analysis of closed Friedmann-Robertson-Walker universes.
منابع مشابه
A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds II – space-times of infinite lifetime
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 g...
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