A. Y. Wardaya, Freddy P. Zen, J. Kosasih, Triyanta Triyanta
{"title":"Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory","authors":"A. Y. Wardaya, Freddy P. Zen, J. Kosasih, Triyanta Triyanta","doi":"10.5614/itb.ijp.2008.19.1.4","DOIUrl":null,"url":null,"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.","PeriodicalId":13535,"journal":{"name":"Indonesian Journal of Physics","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2016-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indonesian Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5614/itb.ijp.2008.19.1.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
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.