Open AccessPerturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory
Author(s) -
Asep Yoyo Wardaya,
Zen F.P,
Jusak Sali Kosasih,
Triyanta Triyanta
Publication year - 2016
Publication title -
kontribusi fisika indonesia
Language(s) - English
Resource type - Journals
ISSN - 0854-6878
DOI - 10.5614/itb.ijp.2008.19.1.4
Subject(s) - chern–simons theory , mathematical physics , coupling constant , non perturbative , gauge group , invariant (physics) , vacuum expectation value , physics , perturbation theory (quantum mechanics) , wilson loop , gauge theory , operator (biology) , order (exchange) , quantum electrodynamics , quantum mechanics , mathematics , biochemistry , chemistry , finance , repressor , higgs boson , transcription factor , economics , gene
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.