Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-25
Nucl.Phys.B814:1-20,2009
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 7 figures. Accepted by Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2008.10.025
We study interactions amongst topologically conserved excitations of quantum theories of gravity, in particular the braid excitations of four-valent spin networks. These have been shown previously to propagate and interact under evolution rules of spin foam models. We show that the dynamics of these braid excitations can be described by an effective theory based on Feynman diagrams. In this language, braids which are actively interacting are analogous to bosons, in that the topological conservation laws permit them to be singly created and destroyed. Exchanges of these excitations give rise to interactions between braids which are charged under the topological conservation rules.
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