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arXiv · 0912.1546

Encoding simplicial quantum geometry in group field theories

Daniele Oriti·Tamer Tlas
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Abstract

We show that a new symmetry requirement on the GFT field, in the context of an extended GFT formalism, involving both Lie algebra and group elements, leads, in 3d, to Feynman amplitudes with a simplicial path integral form based on the Regge action, to a proper relation between the discrete connection and the triad vectors appearing in it, and to a much more satisfactory and transparent encoding of simplicial geometry already at the level of the GFT action.

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Daniele Oriti, Tamer Tlas. 2009-12-16. Encoding simplicial quantum geometry in group field theories. https://doi.org/10.1088/0264-9381%2F27%2F13%2F135018

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