Abstract
In this chapter we introduce the mathematical framework of the principle of the fermionic projector and set up a variational principle in discrete space-time. The underlying physical principles are discussed. We outline the connection to the continuum theory and state recent results. In the last two sections, we speculate on how it might be possible to describe quantum gravity within this framework.
I would like to thank the Erwin Schrödinger Institute, Wien, for its hospitality.
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References
J.D. Bjorken, S. Drell, “Relativistic Quantum Mechanics,” McGraw Hill (1965)
F. Finster, “Derivation of field equations from the principle of the fermionic projector,” gr-qc/9606040, unpublished preprint
F. Finster, “The Principle of the Fermionic Projector,” AMS/IP Studies in Advanced Mathematics Series 35 (2006)
F. Finster, “A variational principle in discrete space-time — existence of minimizers,” math-ph/0503069 v2 (2005)
F. Finster, “Fermion systems in discrete space-time — outer symmetries and spontaneous symmetry breaking,” math-ph/0601039 (2006)
F. Finster, “Light-cone expansion of the Dirac sea to first order in the external potential,” hep-th/9707128, Michigan Math.J. 46 (1999) 377–408
Landau, L.D., Lifshitz, E.M., “Classical Field Theory,” Pergamon Press (1977)
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Finster, F. (2006). The Principle of the Fermionic Projector: An Approach for Quantum Gravity?. In: Fauser, B., Tolksdorf, J., Zeidler, E. (eds) Quantum Gravity. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7978-0_13
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DOI: https://doi.org/10.1007/978-3-7643-7978-0_13
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