Asep Yoyo Wardaya
1) Department of Physics, Diponegoro University, Semarang 2) Indonesia Center for Theoretical and Mathematical Physics

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Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory Asep Yoyo Wardaya; Freddy P. Zen; Jusak S Kosasih; Triyanta Triyanta
Indonesian Journal of Physics Vol 19 No 1 (2008): Vol. 19 No. 1, January 2008
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (272.953 KB) | DOI: 10.5614/itb.ijp.2008.19.1.4

Abstract

We investigate a relation between non-perturbative and perturbative cases in the 2+1 dimensional Chern-Simons-Witten (CSW) theory for G = E6 gauge group. In the perturbative case, we calculate the vacuum expectation value (VEV) of an unknotted Wilson loop operator up to order 1/k3 (k is a coupling constant). The result above is proved to be identical to the polynomial invariant E0 (ρ) in the non-perturbative case at the same order of expansion.