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We describe how a spin-foam state sum model can be reformulated as a quantumfield theory of spin networks, such that the Feynman diagrams of that fieldtheory are the spin-foam amplitudes. In the case of open spin networks, weobtain a new type of state-sum models, which we call the matter spin foammodels. In this type of state-sum models, one labels both the faces and theedges of the dual two-complex for a manifold triangulation with the simpleobjects from a tensor category. In the case of Lie groups, such a modelcorresponds to a quantization of a theory whose fields are the principal bundleconnection and the sections of the associated vector bundles. We brieflydiscuss the relevance of the matter spin foam models for quantum gravity andfor topological quantum field theories.Comment: 13 pages, based on the talk given at the X-th Oporto Meeting on  Geometry, Physics and Topology, Porto, September 20-24, 200

Quantum Field Theory of Open Spin Networks and New Spin Foam Models