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We give a non-perturbative construction of the fermionic projector in Minkowski space coupled to a time-dependent external potential which is smooth and decays faster than quadratically for large times.
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by same author, Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials , arXiv:hep-th/9809019, J. Math. Phys. 41
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by same author, The Principle of the Fermionic Projector , hep-th/0001048, hep-th/0202059, hep-th/0210121, AMS/IP Studies in Advanced Mathematics, vol. 35, American Mathematical Society, Providence, RI, 2006
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C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization , ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, 2007
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K. Rejzner, Perturbative Algebraic Quantum Field Theory , Math. Phys. Stud., Springer, 2016
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