A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. I: Space-times of finite lifetime.

DOI10.4310/ATMP.2015.v19.n4.a3zbMath1338.83032arXiv1301.5420MaRDI QIDQ275090

Moritz Reintjes, Felix Finster

Publication date: 25 April 2016

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5420

zbMATH Keywords

Lorentzian manifoldDirac equationWKB approximationfermionic projectorfinite lifetimeFriedmann-Robertson-Walker universesglobally hyperbolic manifoldsintegral kernelnegative-energy solutionstwo-point distributionultraviolet regularization

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Space-time singularities, cosmic censorship, etc. (83C75) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Equations of motion in general relativity and gravitational theory (83C10)

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