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Diffeomorphism-invariant lattice actions

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Abstract

We present a lattice-discretization procedure which is based on the simplicial lattice preserves diffeomorphism invariance. The presented procedure is the straightforward generalization for the procedure used for discretization of the spinor gravity [7]. As a stable way to guarantee the removing of the lattice regularization, i.e. the continuum limit, for lattice diffeomorphism invariant theories, we propose to tune the system to point of the phase transition. We expect that the Einstein gravitation is achieved at this point.

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Authors and Affiliations

  1. Ruhr-Universitat Bochum, Bochum, D-44780, Germany

    Alexey A. Vladimirov

  2. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, 188300, Russia

    Dmitri Diakonov

  3. St. Petersburg Academic University, St. Petersburg, 194021, Russia

    Dmitri Diakonov

Authors
  1. Alexey A. Vladimirov
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  2. Dmitri Diakonov
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Correspondence to Alexey A. Vladimirov.

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Vladimirov, A.A., Diakonov, D. Diffeomorphism-invariant lattice actions. Phys. Part. Nuclei 45, 800–807 (2014). https://doi.org/10.1134/S1063779614040145

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