1301.5420 (Felix Finster et al.)

A Non-Perturbative Construction of the Fermionic Projector on Globally
Hyperbolic Manifolds I - Space-Times of Finite Lifetime    [PDF]

Felix Finster, Moritz Reintjes

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.

View original: http://arxiv.org/abs/1301.5420