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The causal perturbation expansion of the fermionic projector is performed with a contour integral method.
P.A.M. Dirac, Discussion of the infinite distribution of electrons in the theory of the positron , Proc. Camb. Philos. Soc. 30
1934
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W. Heisenberg, Bemerkungen zur Diracschen Theorie des Positrons , Z. Phys. 90
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E.A. Uehling, Polarization effects in the positron theory , Phys. Rev. 48
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R.P. Feynman, Space-time approach to quantum electrodynamics , Physical Rev. (2) 76
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N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields , Russian ed., John Wiley & Sons, New York-Chichester-Brisbane, 1980, Translation edited by Seweryn Chomet, A Wiley-Interscience Publication
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M.V. Berry, Quantal phase factors accompanying adiabatic changes , Proc. Roy. Soc. London Ser. A 392
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F. Finster, Definition of the Dirac sea in the presence of external fields , arXiv:hep-th/9705006, Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
by same author, Light-cone expansion of the Dirac sea to first order in the external potential , arXiv:hep-th/9707128, Michigan Math. J. 46
1999
Cited alongside, same era.
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
2000
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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
2006
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2011
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2012
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2013
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2013
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2009
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2010
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F. Finster, J. Kleiner, and J.-H. Treude, An introduction to the fermionic projector and causal fermion systems , in preparation
Cited in the paper.
F. Finster et al, The fermionic projector in an external potential: Non-perturbative construction and the Hadamard property , in preparation
Cited in the paper.