chen - simons - witten理论的微扰与非微扰方面

Indonesian Journal of Physics Pub Date : 2016-11-03 DOI:10.5614/itb.ijp.2008.19.1.4

A. Y. Wardaya, Freddy P. Zen, J. Kosasih, Triyanta Triyanta

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引用次数: 1

摘要

研究了G = E6规范群的2+1维Chern-Simons-Witten (CSW)理论中非摄动和摄动情况之间的关系。在微扰情况下，我们计算了解结威尔逊环算子的真空期望值(VEV)，最高可达1/k3阶(k是耦合常数)。在相同的展开阶下，证明了上述结果与多项式不变量E0 (ρ)在非扰动情况下是相同的。

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Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory

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.

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Indonesian Journal of Physics

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