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Spin foam models with finite groups

MPS-Authors
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Bahr,  Benjamin
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Dittrich,  Bianca
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Ryan,  James P.
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1103.6264
(Preprint), 547KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Bahr, B., Dittrich, B., & Ryan, J. P. (in preparation). Spin foam models with finite groups.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-51AD-F
Abstract
Spin foam models, loop quantum gravity and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity inspired models with finite groups, firstly as a test bed for the full theory and secondly as a class of new lattice theories possibly featuring an analogue diffeomorphism symmetry. To make these notes accessible to readers outside the quantum gravity community we provide an introduction to some essential concepts in the loop quantum gravity, spin foam and group field theory approach and point out the many connections to lattice field theory and condensed matter systems.