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

Franco Ferrari
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Abstract

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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Franco Ferrari. 2001-08-30. A Topological Field Theory With a Finite Number of Connected Feynman Diagrams. https://arxiv.org/abs/math-ph/0108026

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