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

2001/08/30 by Franco Ferrari, Ferrari, Franco
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0108026

14 pages, latex2e

arxiv created 2001/08/30 · arxiv updated 2009/11/30

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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