论文标题
扰动BF理论
Perturbative BF theory
论文作者
论文摘要
我们考虑了拓扑类型的超元素级量规理论，其中结构组等于不均匀的ISU群体（2）。得出了量规场的相关函数的生成功能，并讨论了其与Chern-Simons理论的生成功能的联系。提出了R^3中定义的该模型的完整术语化。确定ISU（2）共轭类的结构。规格不变的可观测值是通过适当归一化的ISU痕迹（2）与定向，框架和彩色结相关的固有痕迹来定义的。研究了威尔逊线期望值的扰动评估，并产生了对相对于结不变的观测值的扰动扩展的最新贡献。打结对框架的一般依赖性。
We consider a superrenomalizable gauge theory of topological type, in which the structure group is equal to the inhomogeneous group ISU(2). The generating functional of the correlation functions of the gauge fields is derived and its connection with the generating functional of the Chern-Simons theory is discussed. The complete renomalization of this model defined in R^3 is presented. The structure of the ISU(2) conjugacy classes is determined. Gauge invariant observables are defined by means of appropriately normalized traces of ISU(2) holonomies associated with oriented, framed and coloured knots. The perturbative evaluation of the Wilson lines expectation values is investigated and the up-to-third-order contributions to the perturbative expansion of the observables, which correspond to knot invariants, are produced. The general dependence of the knot observables on the framing is worked out.
