A Topological Field Theory With a Finite Number of Connected Feynman Diagrams

Details A Topological Field Theory With a Finite Number of Connected Feynman Diagrams A Topological Field Theory With a Finite Number of Connected Feynman Diagrams

2001-08-30

arxiv.org/abs/math-ph/0108026v1

Physics

Mathematical Physics

14 pages, latex2e

Scientific paper

A new topological field theory is constructed, which is characterized by cubic interactions similar to those of non-abelian Chern-Simons field theories, but still retains the simplicity of the abelian case. The perturbative expansion of this theory contains in fact only two connected Feynman diagrams, the propagator and a three vertex. Apart from the Gauss linking number, the Wilson loop amplitudes generate a further topological invariant, whose physical and mathematical meaning is investigated.

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