Spin Foam Models with Finite Groups
Ryan, James P.
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Bahr, B., Dittrich, B., & Ryan, J. P. (2013). Spin Foam Models with Finite Groups. https://doi.org/10.1155/2013/549824
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 the lattice field theory and the condensed-matter systems.
External DOI: https://doi.org/10.1155/2013/549824
This record's URL: https://www.repository.cam.ac.uk/handle/1810/267608
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Rights Holder: Copyright © 2013 Benjamin Bahr et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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