English

Perturbing Topological Field Theories

High Energy Physics - Theory 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9902154,
  title  = {Perturbing Topological Field Theories},
  author = {V. E. R. Lemes and C. A. Linhares and S. P. Sorella and L. C. Q. Vilar and D. G. G. Sasaki},
  journal= {arXiv preprint arXiv:hep-th/9902154},
  year   = {2009}
}

Comments

13 pages, 5 figures, corrected some typos

R2 v1 2026-07-22T16:14:15.520Z