Maas Axel
Institute of Physics, University of Graz, Universitätsplatz 5, 8010 Graz, Austria.
Eur Phys J C Part Fields. 2015;75(3):122. doi: 10.1140/epjc/s10052-015-3342-8. Epub 2015 Mar 14.
Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang-Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.
关于杨-米尔斯理论的非微扰领域，两种流行的观点要么是从胶子本身的角度，要么是从集体胶子激发的角度，即拓扑激发的角度。如果这两种观点都是正确的，那么它们只是同一基础物理的两种不同表示。研究这种联系的一种可能性是通过确定拓扑背景场中的胶子关联函数，这种背景场是由格点构型的涂抹产生的。本文针对SU(2)杨-米尔斯理论，在动量空间和位置空间中，对最小朗道规范胶子传播子、鬼传播子和跑动耦合进行了此项研究。结果表明，在足够小的动量下进行涂抹时，传播子显著的低动量特征在定性上得以保留，这与两种观点的等效性相符。然而，中动量行为受到显著影响。这些结果对于泛函方法中的截断构造也具有相关性，因为它们为截断中需保留的必要性质提供了线索。
