Fermion Systems in Discrete Space-Time

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Finster, Felix (2006)

Fermion systems in discrete space-time are introduced as a model for physics on the Planck scale. We set up a variational principle which describes a non-local interaction of all fermions. This variational principle is symmetric under permutations of the discrete space-time points. We explain how for minimizers of the variational principle, the fermions spontaneously break this permutation symmetry and induce on space-time a discrete causal structure.
  • References (5)

    [1] F. Finster, “The Principle of the Fermionic Projector,” AMS/IP Studies in Advanced Mathematics 35 (2006)

    [2] F. Finster, “A variational principle in discrete space-time - existence of minimizers,” math-ph/0503069, Calc. Var. and Partial Diff. Eq. 29 (2007) 431-453

    [3] F. Finster, “Fermion systems in discrete space-time - outer symmetries and spontaneous symmetry breaking,” math-ph/0601039, Adv. Theor. Math. Phys. 11 (2007) 91-146

    [4] F. Finster, “The Principle of the Fermionic Projector: An Approach for Quantum Gravity?”, gr-qc/0601128, in “Quantum Gravity”, B. Fauser, J. Tolksdorf and E. Zeidler, Eds, Birkh¨auser (2006)

    [5] F. Finster, “On the regularized fermionic projector of the vacuum,” math-ph/0612003 (2006)

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