Fani, Somayeh; Kaviani, Kamran. Emergence of non-gravitational fields in dimensional reduction of 4d spin foam models

Natural Sciences / Physics / Gravitation Theory (Relativity)

Submitted on: Oct 08, 2012, 03:37:51

Description: âEŽA Kaluza-Klein like approach for a 4d spin foam model is consideredâEŽ. âEŽBy applying this approach to a model based on group field theory in 4d (TOCY model)âEŽ, âEŽand using the Peter-Weyl expansion of the gravitational fieldâEŽ, âEŽreconstruction of new non gravitational fields and interactions in the action are foundâEŽ. âEŽThe perturbative expansion of the partition function produces graphs colored with su(2) algebraic dataâEŽ, âEŽfrom which one can reconstruct a 3d simplicial complex representing space-time and its geometry; (like in the Ponzano-Regge formulation of pure 3d quantum gravity)âEŽ , âEŽas well as the Feynman graph for typical matter fields. âEŽThus a mechanism for generation of matter and construction of new dimensions are found from pure gravity.

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