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Discrete and Continuum Third Quantization of Gravity

In: Quantum Field Theory and Gravity

Author

Listed:
  • Steffen Gielen

    (Max Planck Institute for Gravitational Physics (Albert Einstein Institute))

  • Daniele Oriti

    (Max Planck Institute for Gravitational Physics (Albert Einstein Institute))

Abstract

We give a brief introduction to matrix models and group field theory (GFT) as realizations of the idea of a third quantization of gravity, and present the basic features of a continuum third quantization formalism in terms of a field theory on the space of connections. Building up on the results of loop quantum gravity, we explore to what extent one can rigorously define such a field theory. We discuss the relation between GFT and this formal continuum third-quantized gravity, and what it can teach us about the continuum limit of GFTs.

Suggested Citation

  • Steffen Gielen & Daniele Oriti, 2012. "Discrete and Continuum Third Quantization of Gravity," Springer Books, in: Felix Finster & Olaf Müller & Marc Nardmann & Jürgen Tolksdorf & Eberhard Zeidler (ed.), Quantum Field Theory and Gravity, edition 127, pages 41-64, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0043-3_4
    DOI: 10.1007/978-3-0348-0043-3_4
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