Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-02-11
Class.Quant.Grav.23:2021-2062,2006
Physics
High Energy Physics
High Energy Physics - Theory
46 pages, the wrong file was first submitted
Scientific paper
10.1088/0264-9381/23/6/012
We study the no gravity limit G_{N}-> 0 of the Ponzano-Regge amplitudes with massive particles and show that we recover in this limit Feynman graph amplitudes (with Hadamard propagator) expressed as an abelian spin foam model. We show how the G_{N} expansion of the Ponzano-Regge amplitudes can be resummed. This leads to the conclusion that the dynamics of quantum particles coupled to quantum 3d gravity can be expressed in terms of an effective new non commutative field theory which respects the principles of doubly special relativity. We discuss the construction of Lorentzian spin foam models including Feynman propagators
Freidel Laurent
Livine Etera R.
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