Encoding simplicial quantum geometry in group field theories

Details Encoding simplicial quantum geometry in group field theories Encoding simplicial quantum geometry in group field theories

2009-12-08

arxiv.org/abs/0912.1546v2

Class.Quant.Grav.27:135018,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 2 figures, RevTeX, references added

Scientific paper

10.1088/0264-9381/27/13/135018

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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