Perturbing Topological Field Theories

Abstract

The abelian Chern-Simons theory is perturbed by introducing local gauge-invariant interaction terms depending on the curvature. The computation of the correlation function of two Wilson lines for two smooth closed nonintersecting curves is reported up to four loops and is shown to be unaffected by radiative corrections. This result ensures the stability of the linking number of the two curves with respect to the local perturbations which may be added to the Chern-Simons action.

arXiv comment13 pages, 5 figures, corrected some typos

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Cited by in corpus (3)

• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• The topological terms of interacting harmonic gravitational connections within the Maxwell-like gauge approach of gravity
• Linking observables in perturbed topological field theories