2013/01/31 by Felix Finster, Moritz Reintjes · 1 citation
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.FA #math.MP
paper · pdf · doi:10.4310/atmp.2015.v19.n4.a3
published as Adv.Theor.Math.Phys. 19 (2015) 761-803 · 29 pages, LaTeX, 1 figure, minor improvements (published version)
arxiv created 2016/01/25 · arxiv updated 2016/01/26
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.