Spin foam models with finite groups

Details Spin foam models with finite groups Spin foam models with finite groups

2011-03-31

arxiv.org/abs/1103.6264v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

47 pages, 6 figures

Scientific paper

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.

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