从FRG计算三维Yang-Mills理论的关联函数
Correlation functions of three-dimensional Yang-Mills theory from the FRG
摘要：
用泛函重整化群计算了三维Landau规范Yang-Mills理论的关联函数。从经典作用量作为唯一输入出发，我们在一个全面的截断方案中计算了非微扰的鬼胶子和胶子传播子以及动量依赖的鬼胶子、三胶子和四胶子顶点。与四维时空的物理情况相比，由于非经典张量结构的重要贡献，我们需要更复杂的截断。特别是，我们采用一种特殊的技术来计算传播方程的蝌蚪图，它也捕获所有微扰的两个回路的影响，并比较我们的传播与晶格和戴森-Schwinger结果。
英文摘要：
We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators as well as the momentum-dependent ghost-gluon, three-gluon, and four-gluon vertices in a comprehensive truncation scheme. Compared to the physical case of four spacetime dimensions, we need more sophisticated truncations due to significant contributions from non-classical tensor structures. In particular, we apply a special technique to compute the tadpole diagrams of the propagator equations, which captures also all perturbative two-loop effects, and compare our correlators with lattice and Dyson-Schwinger results.
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