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In this survey article, we explain a few ideas behind the fermionic projector approach and summarize recent results which clarify the connection to quantum field theory.
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1977
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C. Hainzl, M. Lewin, and E. Séré, Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation , arXiv:math-ph/0403005, Comm. Math. Phys. 257
2005
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by same author, Self-consistent solution for the polarized vacuum in a no-photon QED model , arXiv:physics/0404047, J. Phys. A: Math. Theor. 38
2005
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F. Finster, 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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Cited alongside, same era.
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J. Glimm and A. Jaffe, Quantum physics, a functional integral point of view , second ed., Springer-Verlag, New York, 1987
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G. Scharf, Finite Quantum Electrodynamics , Texts and Monographs in Physics, Springer-Verlag, Berlin, 1989
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1995
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M.J. Radzikowski, Micro-local approach to the Hadamard condition in quantum field theory on curved space-time , Comm. Math. Phys. 179
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V. Bach, J.-M. Barbaroux, B. Helffer, and H. Siedentop, On the stability of the relativistic electron-positron field , Comm. Math. Phys. 201
1999
Cited alongside, same era.
C Bär and K. Fredenhagen (eds), Quantum field theory on curved spacetimes , Lecture Notes in Physics, vol. 786, Springer Verlag, Berlin, 2009
2009
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